Patrick Konan chipped in with 16 points and grabbed seven rebounds for the Wildcats in the Bracket Busters matchup.
New Hampshire never trailed and led by as much as 14, 32-18, in the first half.
Towson (1-28) cut the deficit to 37-33 in the second half, but the Wildcats used a 26-7 run to go on top 63-40 with 5:16 left to play. Myrick capped the run with a jumper.
New Hampshire (11-15) held Towson to just 2 of 17 shooting from 3-point range while the Wildcats connected on 31 percent (10 of 32) shots from deep and 18 of 25 from the charity stripe.
Robert Nwankwo led Towson with 20 points and 13 rebounds, his 13th double-double of the season.
Purdue coach Matt Painter says players haven't used the fifth-year graduate transfer rule for its true intent.
The dust has settled after players made their NBA draft decisions. Which college teams won? Which lost? Well, Villanova is pretty happy. USC, meanwhile, might not be as thrilled.
The 2017 recruiting class is short on point guards, with Trevon Duval leading only eight prospects from the ESPN 60 who are still available.