FiReBoX
When you say a small AVS site - are you talking about an AVS system where others list their sites, or just a single site listed at an AVS?
The reason I ask is that you should get some nice traffic from and AVS system as part of being listed in their directory, and then making a copy of that site with some recips to the LLs that accept AVS sites (you can find a list here in the resource section) you should be able to get some nice targetted traffic. Then I would make sure I submitted the site to DMOZ (some will tell you its not worth it but I still get joins from sites I made 4 yrs ago from DMOZ traffic) in the right category - they do list AVS sites, plus it will help you get listed in the search engines.
I would be real hesitant to ever buy traffic for an AVS site
most traffic that is for sale out there is very low quality compared to the methods Ive listed above