Can anyone recommend a load for use in an 11.5-in. 1x7 bbl with an AAC M4-2000 that will run just under 1,100 fps in warm weather?

Would actually prefer it didn't cycle the action to keep noise down, but most of all must stabilize so there's no chance of baffle strikes.

This load would be mostly for euthanizing injured animals, prefer softpoint/hollowpoint. Be nice if the round could penetrate a tire rim, too.

The same load could be issued to road officers for low-key usage in non-supressed 14.5 and 16-in. barrels, too.

Thanks.