TPS doesnt guarrantee any status so get an I20 and go to school. It does give you right to travel and work without any restriction but you cannot go back to F1 after TPS ends if you do not maintain it the whole time long. Also, even if you find a company willing to sponsor greencard, you wont be able to switch to GC from TPS, and that is why you need the valid F1 status. That does mean you need to maintain a fulltime student status as well. It's a bit complicated-make the right decision. Good luck!