Can you tow a 24 ft travel trailer 3300 lbs With a 1997 Chevy Cheyene It has a 305 V8 Four speed automatic transmission It is a regular cab short bed?

ABSOLUTELY!!! I tow my racecar on a flat open trailer (6300 lbs) with my 1996 Chevy C1500 305 4L60E four speed automatic and have NO difficulties. However, I would strongly recommend an electric brake unit, aux trans cooler, and an adequate hitch.