Bummer. I've had issues with the blue tape too, especially ripping out grain on bare wood. I use the green low tack stuff from the same company that makes the blue (3M?). It certainly is low tack - most of the time it doesn't stick hard enough or for long enough. For edges I always use the 3M 471 pin striping tape and then attach the green stuff off of that...
cheers,
Gav.