This is a very hard question and it really is determined by the condition of the boat. $10K is at the lower (but not lowest) end of the prices. There are so many production boats that you could be getting in the 30 foot range that will do the job for you that it would be hard to make a list.
If you could tell us what boats you've looked at maybe we could eliminate some from your list for you.
Catalinas, older Tartan, older Pearsons. I like pre '72 models that were made tough. Maybe Grampian
Condition and prior care of any of the older boats is the key to their serviceability. It would be nice if you could find one with a little diesel engine