Truck to pull TT that's readily available & not too $?

As others have said, without knowing the size of trailer, nobody can really recommend much.
If they are looking at smallish trailers, say <=25ft or so, you are in 1/2 ton territory and will have lots of choices, especially if you are willing to forgo 4wd. I had a 2002 F150 that I pulled a 24ft trailer with, sold it for $5000 a couple of years ago, with 130000 miles. I know the people who bought it, and it is still running perfectly.