Isom scored 14 points, Woods 13 and James Reid 11 for the Trojans (9-14, 4-9 Sun Belt).
UARL led 32-23 at halftime after shooting 52.4 percent while the Bobcats shot just 32 percent. But Texas State opened the second half with a 15-6 run to tie at 38-all. The Trojans responded with six unanswered points and didn't trail again.
The UARL bench was assessed two technicals and Ethan Montalvo converted 3 of 4 free throws to get the Bobcats within 48-45. An 8-0 run boosted the lead back to 61-50 with 4:24 remaining and Texas State wouldn't get closer than seven after that.