It always gets my goat when someone says I want to do such and such and it gets out of hand.
I think the K Hornet would be interesting to play with and the smaller cartridge head would produce less thrust on the breech block. I do consider the straight Hornet a fine round to play with but not all that good on tough critters like the wiley coyote much past maybe 50 yards and preferably less. The Bee would be nice, but like the Hornet, ammo is a bit on the pricey side. Dunno much about the Bee as I never had one but I do know that Hornet brass can be a bit on the fragile side due to it's size.
If the gun was originally a rimfire, you'll have to drill out the breech block and whatever else that entails to convert to centerfire. Projects like that get expensive. Just ask me how I know.
Sometimes they don't work out like you thought they might. Again, just ask me how I know.
But the ones that do work out exactly as planned, oh the joy!
Paul B.