Where there is a will, a way will be found.
We considered hauling a bike similar to yours. A street legal offroad bike. The Yamaha TW200. With carrier mounted on the back we were looking at 300-350# back there. Doable, but only just.
We went the first few years bikeless to see if it would really get used. Turns out not having one is really no big miss though the idea is not forgotten.
Spotted a Honda 150cc large wheeled scooter the other day. Nice bike. Storage in box on the back plus under the seat. No lugging helmets around. The bike wish is still alive.