mero_name_ho -- Thats such a load of crap.

Regarding the question:-
You can file for green card regardless of TPS. TPS is not a permanent status and thus called temporary. So yes maintain your status. So you can go back on it. You can still go back from TPS to F1 even after losing status. Lawyers can do it but I think that should be your last option. What you can do is take a semester break and come back next semester. TPS will get you travel doc so thats one option. That way you do not have to pay for school for a semester.

And regarding mero_name_ho 's next advice about CPT and GC ...he does not know what he is talking about thats why his name is a 'HO' lol. I know many friends who went to those colleges and know have a GC through H1b. Yes CPT is a loop hole but its a legal loop hole.

I would not give up the F1 status - at least for now.
TPS usually extends up to 5 years. Haitian's TPS is still active after the 2012 Earthquake so yea you might have 3 masters :D but there's a good chance you will be able to pay for it.

And please take advices here with a grain of salt.