I am a Dir Sales and Marketing for a very large 1000+ room hotel \ convention centre so i could help.
Most hotels will have a sales and marketing department which will have a dedicated electronic sales section working with .com and in house sales. The markcom dept. will have graphic designers who can handle web design.
Most large hotel will have a large IT department which could include network engineers and programmers. The hotels will either have a in house web developer or they will contract a local professional to work on web development.
My advise is to prepare a portfolio of what you can do. Target the top 5 hotels in your area, analyze the web site they have and see how you can improve, contact them and ask them if they will grant you an opportunity to show them how you can improve there web presence. prepare a professional presentation, showing facts and figures, make comparisons how they are doing vs there competitors .Put on a suite or dress smart and show them what you can do to increase not only traffic but convert the traffic into bookings.
A hotel care about 4 main points.
Room nights
Average Room rates
Room revenue
F&B revenue
If you can convince them you can improve any of those they might listen to you. Forget about contacting any hotel which you cant drive to, you will waste your time.