Here's an old Odyssey that might be in someone's price range
 

Might need some carb work (hard to start ad says) and the gas tank was removed and different one placed up high so it's gravity fed.

Honda Odyssey 250 - Nex-Tech Classifieds

Wish it was closer.

I wish that was closer to me too I used to have one of these about 12 years ago, Man that was fun

The guy I bought my Rancher from has a 350 Odyssey for sale on facebook now but its a really nice one, almost looks like new and he wants $2700 for it. They're cool but I would never pay that much for one. I could have bought a 250 in good shape a couple years ago for about $1000 but honestly, i'd rather have a smaller atv. But I bet that 350 would be pretty fast though, probably about like a 300ex at least, maybe even a 400ex. The 250 is about like a 250ex in performance.