Trailer sailing is a perfectly viable way forward, inexpensively. I don't know I'd want to tow a cat 22 with such a small vehicle, but I suspect it COULD.
Setup on the Cat 22 is not horrible, with the swing keel it sits low on the trailer making it easier to get onto while still on the trailer.
I agree that checking out the cat22 association is a good idea if this is what you are considering. catalina22.org
As far as "not being a dog," these boats are reasonable to sail, except in very light winds where they are harder to keep going. Hull speed is the deciding factor in overall speed for a boat, and that's mostly dictated by waterline, so obviously the shorter the boat, the slower the top hull speed (please no discussions of surfing or planing, that's a whole different ball game)... That being said, it's gonna feel pretty fast on such a small vessel.
I can't answer how well it'd do in a broach or sailing bigger waters, but I can tell you tons of people do it, who are very familiar with the boats (I am assuming some upgrades to rigging are in order).
Either way, the Cat 22 is a great boat, and worth a consideration. I respectfully submit the Precision 21, and precision 18 as other worthy boats. If you want heavier, and easier in heavy wind/water, try the Com-pac 19. Ton's of other boats to consider in older vintages too numerous to mention.