One other thing -- I may have misread the original post. Were you describing a scenario where you have an application with, say, three claims, and you get an office action rejecting the broadest claim (claim 1, for example) and allowing 2 and 3, you respond by cancelling claim 1 and moving on the allowance with 2 and 3? In that case, if you cancel without prejudice, you can file a continuation and try and recapture claim 1. However, as I noted earlier, any limitations that you introduce trying to traverse a rejection will be applied to all of the patents in a given family; further, if you cancel a claim that has been rejected in an office action, then later file a divisional or continuation where you present the original claim 1 without modification, the original rejection will still be in place, and you will have to try and traverse the rejection in the continuation.
This is why I didn't really understand the point of this -- it's not like you can ever get away from the idea of trying to traverse the rejections if you want to obtain broader protections -- you will still have to traverse the rejection eventually, and if you make any limiting statements in a daughter application, those limits can also be applied to the parent application, so you really haven't saved anything.
And from a litigation standpoint, its a lot better to try and do it the right way the first time, and keep the prosecution record as clean as possible.