Well, I'm keeping my house in Tulsa so buying in OKC isn't an option - but, since I'm an old accountant, here's a couple of things I've thought about:
1. The interest and tax deductions from owning are worth absolutely nothing to you as a medical student. You don't have any material income to deduct them from.
2. Real estate in Oklahoma has never had huge leaps and bounds - unless you make a really smart investment like Freeze, it's been putting along at 1% - 2% appreciation per year for a long time - it's been a little better lately - maybe 3% - 4% this year. Higher mortgage rates, however, may tend to suppress appreciation - even in Oklahoma.
3. If you're in OKC for two years as I plan to be, a 5-6% sales commission after two years would pretty must offset any gains in value. If you're going to finish at OKC and especially if you hope to do your residency at OUHSC, buying may make a lot more sense. If you leave, you may not be able to sell as quickly as you want to, and being an out-of-state owner is a nightmare.
Plus, OKC is absolutely dirt-cheap as a rental market.