Private airport or small field for landout?

Hi all.

I'm a former cfi-i/mei and commercial glider pilot, but I've never gone cross-country in my PW-5 glider. Training up for it though. A question:

If you are in an area where the fields are small, but there are several private airfields around, which should be your priority?

Seems to me that the private airport would be safer, assuming you have enough altitude to overfly it. Also I notice that my (new) Oudie2 shows all the private airstrips around as potential landout spots.

Will you get in trouble (legal or financial) if you have to landout at a private airport (assuming you aren't declaring an emergency, of course)?

Ben