The suction cup mount will work well enough for occasional use. Probably a smaller cam with a screen would work best for you. Depending on the car, you can put the cam at the bottom of the windshield, but the field of view isn't ideal. Up high, and centered usually gives the best view.
A lot of the cams don't seem to have an easy way to mount them from the bottom.
Some of the earlier cams I had with a display had a tripod mount thread on the top, and bottom of the body. Not seen many with that recently.
I use cams in rental cars and just resign myself to the suction cup mount, and the wire to the cig lighter adapter dangling.
I still like the mobiuses, they're small, and reliable. Not the best at night. No screen, about the size of a tic tac box or small matchbox. ($80 -/+ with a suction cup mount, and it's usable as a small action cam)
If you're a habitual smartphone user, one of the cams with an app to control and view may work out OK.
The YI you can buy on Amazon (Currently at $50) is a pleasant cam to use overall, not small, has a screen, and usable app, and is easy to live with.
The WR1 has nice video, app controlled, but has some usability problems that may be changed with firmware updates. (I hope)
Whatever you end up with you'll end up with re-setting the time every time you plug it in 'occasionally'. No big deal, but some scrolling and fumbling with the menu.
One of the app controlled cams may be easier to live with, since they'll automatically set the time on the cam when you access the cam for settings or adjusting the view via your smartphone.