Fellow texan here! Besides staying in, when I was working outside last summer I discovered the joys of lukewarm showers (because I can't do cold showers), and dusting powder for while wearing shorts (cause I was walking a lot outside, and experiencing chafing.)

As for the oily skin - how cheap we talking? Personally, when my skin is oily I use a charcoal mask every week to fe days, which will suck up oil like crazy, and then an oil free moisturizer to finish. On a daily basis I use the Origins Checks and Balances face wash, which I find helps control oil without drying me out (I have combo skin), which is around 20 dollars but it lasts a good while.