I just had a CPR class this week (baby due 11/30) and was thinking along these lines - isn't there another way.
Side note for some of the other comments - there are multiple ways to apply pressure to the thoracic cavity in order to express something lodged in the throat. If the person is large and you cannot wrap your arms around them, have them stand with their back against the wall and you thrust from the front just below the diaphram.
The goal of CPR is to resuscitate an individual who is not breathing. Whether the individual sustains other injuries through the course of being resuscitated does not matter. Better to be alive and injured than dead!