I'd start by thinking what possible donor vehicle would you consider adequate to pull that trailer. Then narrow the field by looking at which one would best fit under the cab and fenders.
I think your challenge is that your stock track width is a little narrow when compared to any later model chassis that would seem up to the job of handling a 22 foot trailer.
The S-10 chassis is closest to the right fit track wise, but would you feel good pulling that trailer with an S-10?
If you are up to widening the front fenders and either widening the bed or the rear fenders you should look at a full size 3/4-ton or 1-ton Chevy or GMC pickup frame.
I'd lean toward something recent enough to have disk brakes on the front meaning '72 or newer, but finding one in good condition would be more important than exactly what year it was.