The ST1300 is top heavy. We have a '02 ST1100 and a '86 Gold Wing Interstate 1200. The ST1100 is much more top heavy and harder to move around in the garage than the Wing. But the ST1100 is more fun to ride in the twisties.
I would suggest to try to maneuver whatever bike you are interested in, around in the shop before buying. And, maybe take a test ride.
We tested a Vanderhall in Las Vegas last month at the AIMExpo. It is a 3 wheel, FWD, GM 1.4L turbo, 180 HP, at 1300 lbs. It was fast and fun. The dealer in Minnesota rents them out, and we are going to rent one next summer and possibly buy one for ourselves.