Wrexham started the game brightly as Max Cleworth's powerful strike forced a smart stop from goalkeeper Jed Hall on Good Friday, and their automatic promotion hopes may need resurrecting after this stalemate with lowly Rovers.
The Rovers stopper then showed off his athleticism again when he made a fingertip save to push away Oliver Rathbone's curling effort.
The hosts had the ball in the net just before the half-hour mark when Rathbone tapped home from Jay Rodriguez's pass, but the latter was offside in the build-up.
Stok Cae Ras was stunned in the 32nd minute when Taylor Moore's glancing header went past Arthur Okonkwo from Matt Butcher's fizzing corner.
Manager Phil Parkinson, who was serving a touchline ban, had his head in his hands when Sam Smith couldn't keep his header on target when in a good position shortly after the break.
But Wrexham's pressure eventually told when captain Matt James curled a delightful finish into the corner with 14 minutes remaining.
The home team pushed for a winner but in the end they had to settle for a draw as Wycombe's win at Bolton Wanderers saw them go second in League One with three games remaining.