TCGC has it all. It's hardly handgun-unfriendly. There's a black powder range, a .22 range, IIRC an indoor .22 spot, the steel target range, and the whole IPSC-style set of bays on the "action" range. Lots of spots for training with handguns. True, it's outdoors, but it's about as varied a spot as you're likely to find, indoors or out. And while the initiation fee is steep, the annual fee is relatively modest, without any per-day or per-hour access fees, no charge for bringing a guest. Use your own targets, your own ammo.
There's the Clackamas Public Safety Training Center. Nice facility, but they've got controls.