Can you give us the name of the domain? I would need to check it out carefully before I could give you a fair offer. If it is indeed getting a couple thousand hits a day, this is indeed worth something. My dating site
http://www.ustillup.com is about a year old now and only getting about 400 hits a day. It's a PR4 and ranking well for terms like "Singles Chat". Of these 400 hits, I get about 200 new visitors and about 100 new members a day. This sounds like a lot, but it's really not that much. I thought I would be achieving at least 1,000 new members a day by the time my site passed the one year mark.
I would be very interested in knowing more about your domain. If you're getting so many visitors a day, why don't you charge a few dollars a month for your services. This would at least bring you in a nice, tidy little income.