Here's a link to search results from Yachtworld, with your parameters up to an asking price of $12K USD (to allow for improvements/upgrades) for the Southeast region of the US.
It's a place to start looking!
(Sail) Boats For Sale Florida FL
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)
1984 Fast/Nicholson 345 "FastForward"