9 Moderately Priced or Average Price Apartments near UTSA. These apartments have Goldilocks Pricing, which is not too high and not too low. However, sometimes there might be specials making it an even better deal. Other times, there might be a rate increase due to high demand so this means it will be a bit more expensive. As always to catch a cheap great apartment deal, just be on the look out for changes and new promotions. Good luck.