If your gun DOES have the Integral Rail as part of the cast or forged receiver, then by all means try some new rings. It is not uncommon for this kind of set-up to get bent rings from a dropped or abused rifle.

The rail is very strong, and while it might not be perfect, it would be rare for the rail to be so far off that you couldn't get it on paper with decent rings. It might not be great for a benchrest rifle but the deer won't know the difference.

Try a new inexpensive set of rings and if that doesn't pan out just return the new rings and start over!