Hi Chris, I do the same typical top-of-the-window mounting.
For a little added stability, I keep the strap taught with my hand while rolling up the window. This causes the device to get wedged into the rain guard a bit so it doesn’t flop around in windy or high speed conditions.
If you expect a source of radiation, pointing it toward the source could yield better measurements but which side shouldn’t be too big an issue when dealing with basic environmental radiation.
I did a quick check of the iOS drive app with my iPhone's cell antenna turned off and it seems to record fine, just can't upload of course.
I also like to keep the bGeigie in log mode anyway so you have another copy on the SD. If you make folders on the card, you can use it as an archive/backup of basically everything you've ever recorded (got the idea from Joe, good warm fuzzies there :) ).