If you mean just three straight road games in a row, but with a home game or two in between, then it was last season from Feb. 8 - Feb. 19. We picked up five W's in a row. We between the Pacers on the road 100-98 and then played two homes games which we won against the Hornets 102-89 and the Nuggets 109-108. Following this, we won 2 road games against the Knicks 92-88 and the Wizards 96-88.
If you mean just three straight road games with no home games in between then it was in the 2001-2002 season starting on Nov. 14. Raptors beat Golden State Warriors 89-82, Los Angeles Clippers 94-85, and then the Phoenix Suns 87-81.
I definitely meant just 3 in a row with home games in between.