There's one fantastic reason to try and save it, and it's the best reason of all... If you can't remove an IC on a board you're working on in one useable piece, you shouldn't be doing board work.
By far the number one thing I get in to fix these days is botched NVRAM install attempts. My piece of advice is if you don't have 100% confidence in the work you're about to perform, let someone with the experience do it.
Now if you're absolutely the do it yourself kind of guy, then yes, destroying the IC is definitely better than destroying the board.
A Dremel is a horrible idea though. I've got some great photos of boards sent in to prove this fact. Not only does it go through IC legs like butter, it goes through board traces like butter too.
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Rob Anthony
Pinball Classics
http://LockWhenLit.com
Quality Board Work - In Home Service
borygard at gmail dot com