Nigel Jones rushed for scores of 18 and 46 to put the Black Bears (4-1, 1-0 CAA) up 21-13 early in the fourth quarter.
Maine then drove 71 yards on just three plays to retake the lead with 5:16 remaining on Wasilewski's strike to Williams.
Strauss drove Richmond down the field again, but was intercepted by Lamar Fitzgerald in the end zone on a first-and-goal, cutting the rally short.
Jones ran for 115 yards on 23 attempts.
Wasilewski threw for 293 yard with two touchdowns, but also had a pair of interceptions.
Strauss went 31-of-45 for 333 yards with two scores and three interceptions.