Well Anon, I dunno. One option is you could do the oil thing, make some money - save and invest. Stay in Texas long enough to be eligible for in-state tuition, take advantage of FAFSA to the best of your ability and just go to college a little later. At that point you'd likely have life experience and recognize what degrees will make you money and which ones will make you into an unemployed welfare hipster.
Plus, it's an offer to literally blaze your own trail and not be in the shadow of anyone. A true sink or swim moment. You'd only grow from it, and we do have Catholics down here in Texas - I'm sure you could find a parish. (Or begome Orthodox, we have some cool Orthodox monasteries here too.)
Plus, hey, when your sister is unemployed, you can be the caring Christian who takes care of her and the folks.
Food for thought. Your folks don't have a terrible idea, so do think thoroughly about it and consider everything.