Any words of wisdom to avoid unpleasantness next year?
Storage tires or ever inflate a bit so you dont have issues with flat spots
Fill the tank to the top or throw stabilizer in if you like.

Should I be turning her on every now and then?
NO!!!! Unless your going to take her out for a drive and completesy warm it up don't bother starting it.
If you start the car and just sit there then the car may not get fully to operating temperature and this could create condensation in the block.

Cover her up?
I personally would but I guess that's on you on how nice your paint is or if drainage is working perfectly.

Drive up and down the driveway?
Covered by other questions