Don't get your legal advice on FT. Go to a good and trustworthy immigration lawyer and get your status adjusted. Sooner or later, if not on this trip, you will bump into the system. Your bigger risk is not from TSA but from SecureFlight which may kick you out of its system for review by DHS/ICE (or not).

For what it's worth, CBP was out in force at LAX on Weds PM, doing spot checks on UA flights so don't count on the fact that somebody else has flown 1000 times without a problem. You only need one mess-up.

That said, you face this problem every day. So, don't make it about flying, make it about getting your status in order.