Tom Kostek's 36-yard run set up the winning score that came with 4 minutes 23 seconds to play. Platek also scored on the Bulldogs' first possession of the game on a 1-yard run.
Drake (5-1, 3-0 Pioneer Football League), which had a 14-7 halftime lead, also got a 30-yard touchdown pass from Piatkowski to Patrick Cashmore.
Cashmore rushed for 127 yards on 18 carries.
Sam Scudellari threw for 317 yards for San Diego (3-3, 2-2). He connected with Kyle Warren on touchdown passes of 37 and 30 yards.