For an "in-between" cartridge, it's hard to beat the 22 Hornet. It is a beautiful compromise between the 22 rimfire and the high intensity 22's like the .223 and the .22-250. It is quiet, has mild recoil but it can easily reach 150 yards holding point blank with 35gr V-max. I have an air-rifle, 22 rimfire, 22 Hornet and .223 Rem, all for gophers. The 22 Hornet would be the last to go.
I believe the .204 Ruger is a great gopher gun, and hope to have one some day, but I tend to put it on the "top-end", not "in-between".