Hawkins was 5 of 7 from beyond the arc as the Tigers (5-1) went 13 of 27 from long range. Mike Morsell and Timajh Parker-Rivera both had 13 points, John Davis added 11 points and 15 rebounds and Four McGlynn chipped in with 10 points. Towson out-rebounded the undermanned Gophers 65-29.
Goucher, a Division III school, was paced by Chris Outing with 12 points before fouling out.
The Gophers hung in with Towson through the first 8 minutes, but a 14-0 run - punctuated by Josh Ivory's 3-pointer - pushed the lead to 28-12 with 9:03 left and the Tigers cruised to a 45-25 halftime lead.
It got worse in the second half, as Towson's physicality wore Goucher down and the Tigers outscored the Gophers 52-18 after the break.