(1) Unless you have a tune for 105 the extra octane only benefits the gasoline company
(2) E85 conversions are possible but pricey, and E85 is not readily available in all areas.
(3) It is highly likely we have the same GT guys setup. If so it came with a 103?/105 tune on the tuner. All you should have to do is reprogram it. Make sure you do it in the correct sequence: Empty the tank then fill with 103/105, and then switch the tune. It will not be healthy to run the new tune with 93 in the tank.
(4) Octane does not affect winter storage. Best to add some Stabil, or drive it every few weeks for a few miles to get it up to operating temp to keep oil and other fluids, esp. supercharger, flowing.
But why? For street driving 105 it won't matter. Different if you track your car.