Its not free but we have a dedicated section for website design and development - it also happens to get quite a considerable number of hits each month; http://www.voisd.com/Web_Design_and_Development/
I've got a list for you. Go to http://www.quantawebdesign.com/tips/directory-niche.html and scroll down to the "internet, webdesign & tech" category. They are all free (checked recently). Hope they help you out! Good luck. cheers ~ Denise