Hello Laceyhalstead, why rent if you could own and pay less than rent in TX. You should study RENT vs BUY listings to compare payments.
The rentals in Tomball start from $690 for 1bd 1ba apt but no horses. I did not find rentals with horse boarding space. The purchase in Tomball start from 349k for 2bd 1ba single family ranch home on 5.58 acres.
You may qualify to buy FHA 3.5% down from a minimum 580 fico score and 3% down conventional from a minimum 620 fico score. Your scores can be raised within 3-4 days in most cases to qualify for programs, rates and terms as necessary. Check out the web reference link below.