Is the car already tuned and you just want to do some pulls, or do you need the car tuned?
If it is already tuned, and tuned properly, the dyno will not blow up the motor. The dyno is nothing more than a rolling road. If it will blow on the dyno, it will blow on the street.
If the car is not tuned, you need to take it to the dyno to be tuned. That costs more of course, and you will want to go with a tuner you trust. Unfortunately, no tuner is going to guarantee that they will not blow your motor.
If you want to see where your A/F is now, come by the house, and we will put my WB on the car and test. You can minimize the chance of damage by knowing where you stand first. That way, you can be more confident before you go to the dyno to get your output readings.
"Racing is life. Anything before or after is just waiting." - Steve McQueen