I've pulled a small trailer with my Jeep many times. Unless there's a LOT of weight, I usually can't even tell it's back there. A 250 CC motorcycle should give you no problems. The short wheel-base is really no problem either.
It's a Jeep Thing ... I do understand!
I carry a 600 cc Enduro (about 300lbs w/ the hitch carrier) on the back of mine. Have also towed a 1500lb trailer/boat over 500 highway miles....no problem. Just have to be extra careful w/ rain, quick stops, etc.