If you are going to use Social Media Marketing. I would recommend you create a Pinterest wall of your work and back link them to your site. Try that.

Ill answer your question with a question, then I can answer it. Are you looking to create an email blast and capture the attention of said prospects in this manner, ie: bulk marketing, or are you looking for more qualified leads you personally reach out to on a 1 on 1 basis (either by phone, in person or video messaging such as Skype, Go To Meeting, etc)?

Depending on your answer there are a couple very effective ways to approach this....of course that's all dependent on the quality of your work.

Create a profile at http://dribbble.com and showcase your best work. That's the first place we go to to get inspired and find great designers.

I offer graphic design packages to my clients for a very reasonable monthly fee. Call for more information.

There are a few simple ways for lead generation on graphics quality and web design leads. These ways are as follows:
1. Make a conscious decision to manage your web design leads:
I. Book at least a 1-hour time slot in your calendar every day and dedicate this time to prospecting web design leads. Ideally, do the prospecting early in the morning as a priority before you get to the other things that grab your attention.
II. Prioritize new client acquisition and prospecting over spending time on your existing client base for up-sells and new projects. This is another trap because it's easier to speak to customers and leads you already know. The problem is that there's a limit to it and to scale you need to bring more leads and prospects into your funnel.
III. If you have an established team, even a small one of just a few staff, define responsibilities for sales clearly. Make at least one person of your team accountable for lead generation and sales metrics (New leads identified, Warm leads, Calls booked, Deals closed). Use a CRM like HubSpot, Salesforce or ActiveCampaign to track those important stats. Make sure the individual/ team member is not the agency owner. Of course, it's the owner's responsibility to prospect and sell, but ultimately, it's about building systems that work without the help of the agency owner.
2. Showcase Project Portfolio to Catch Web Design Leads:
I. On your website, have a dedicated portfolio section that will attract web leads. In there, represent your projects both visually and from the performance perspective. Performance, in this case, describes how the client website performs. Not only showcase your designs, but also the business impact your work as you can really differentiate yourself from other designers. Present case studies and stats like lead generation, e-commerce sales, time spent on-site in your portfolio.
II. Have a strong website portfolio as the key place, but also use sites like Behance and other portfolio platforms. The more visibility you get, the better.
III. Use an optimized website lead generation form using LeadGen. Marketers and agency owners often spend a huge amount of time in optimizing web design, copywriting, analysing heatmaps, but forget one critical thing: Providing a user-friendly and straightforward way to capture details of interested leads that want to work with you. Web forms are the best way to generate quality leads and maximize conversion rates of your agency website. Do not rely on a simple WordPress plugin or basic form solution for your main inquiry channel, the contact form. Make your form 1) Easy to find, 2) Short & Precise and 3) Visually attractive. That will give the best possible lead conversion rates and you will be surprised how well your website can convert once you take this strategy seriously.
3. Use Different Lead Capture Streams to Generate Web Design Leads:
I. Your website should become a magnet for generating leads. Don't rely on a single contact form. Instead, add contact email, phone number prominently in the website header.
II. Use Lead capture forms across web-pages and blog.
III. Create interactive quote request forms to present your audience quotes and capture web design leads at the same time.
4. Niche Down Your Positioning:
I. The key problem is that there is so much competition in web design. There are too many options for companies to find web developers. To differentiate yourself from all the other providers of web development services, start with identifying your niche.
II. Possibly you can pick a certain industry or vertical that you will become the specialist in, e.g. "Web design for realtors in Utah". Even if you are an existing web design company, servicing a wide range of companies, you can still "niche down". Simply have a dedicated webpage or blog post on a niche only.
III. Once you got clarity on your positioning, increase your visibility. Although we highlighted that the website is the key channel to generate leads, use other traffic and awareness channels as well. You can also use freelancer platforms like Upwork even if you are a small agency.
IV. Web agencies should also be listed on trusted agency listing sites. One of the leading portals is Clutch which offers both free and paid listings. Furthermore, use social channels and communities where your audience spends time on. Furthermore, build partnerships with other complementary service providers that allow you to build a network and get yourself known in the market.

Besides if you do have any questions give me a call: https://clarity.fm/joy-brotonath