you could easy way out with a Henry in 327.
or a 92 in 357.
or a marlin in 38 special they all really do the same 125-130gr bullet thing.
downloading a larger case is also super simple, a 340 savage in 30-30 will plonk a 125 or 150 out at 900 fps easy enough.
there's at least 50 options since we cast and reload.
heck a 308 with the rcbs 98gr rnfp would under do it with 4grs of clays or titegroup.
I went through a kick some time back just having fun running many of my guns from as slow and as light as I could go [far enough down I had to modify my lube and barrel condition with graphite to make them get the bullet out the barrel] all the way up as fast as I could go with a nominal to slightly heavy weight bullet.
there was easily 5 useful load levels I could find with each and every rifle.
then I went on a one trick pony load for some of them looking for the most useful [broad use, ground squirrels to deer] and accurate load I could find.
we don't have too many rabbits around here, but 3-4oz ground squirrels aren't too hard to find, and shooting them with weird stuff like an 8 mauser with a flat nose 170gr bullet at like 2000 fps, or a 44 mag lever gun with the 429241 stoked with 19.3grs. of 2400 is pretty amusing until the recoil catches up with you.