If I can load .22lr into a 10/22 mag without it going off, I don't believe a vibratory tumbler will set it off either. It will remove the lube and/or gilding metal on the bullets.
I agree with the above poster, if your gonna mess with it, take your kitchen colander, dump the cartridges into it, rinse and shake, rinse and shake, etc.
700 rounds, I'm guessing bulk cartridges, is about $20.00 worth in my area. For $20.00, I'd just toss'em. Take a sandwich in to work for two or three days, the duds and problems aren't worth it...
Just remember, when you pull the trigger, the bullets come out going very, very fast. So make sure to keep the weapon pointing away from you.