pcp

I use pcp for rabbits, and in some situations they suit for a few reasons. Where I go, there are horses, and so being so quiet the horses don't get spooked, and at 30 ft/lb they are a third of the power of a rimfire, so ricochettes aren't such a threat. I have shot a bunny at 110 m, but only once, but I am happy going out to 60/70 m on still days.
Yes pcp set up is more expensive, but ammo is cheap at 6 cents a shot. They are one way of doing it, and I think you're wise figuring out if you want to go down that track.