I recently started taking Advil for some pretty severe muscle
inflammation.  It worked great at reducing the inflammation, but
unfortunately it tears up my stomach something awful.  I have a history
of ulcers so my stomach lining is pretty thin.  I've tried all the
normal tricks (taking it on a full stomach, with plenty of water, etc.)
and it doesn't matter.  I've also tried different brands of NSAID an it
hasn't helped on the stomach end.

Are there any medications out there that will reduce inflammation
without the effect on the stomach of the NSAIDs?  I understand this
effet is likely due to the NSAIDs systemi effect on some substance in
the stomach as opposed to local irritation from the pill itself, such
that injections or topical version of the same drug wont help.

Please note I'm interested in reduced inflammation, not pain relief.
I'm not really in any pain, I just need to redue this inflammation.
Tylenol works fine for me for pain, but does nothing for inflammation.