You can also use Gorilla Glue and Gorilla Wood Glue. The Gorilla Glue is especially nice in that you can moisten the hardwood side of a connection before clamping to gain better adhesion as well as gap filling from the resulting foam. But you always have to clamp or it will expand the joint so use where appropriate. The clamp time is only an hour so its fairly fast.

While I wouldn't use anything but thin CA for CA hinges you don't have to use CA hinges.

Ambroid & UHU are another good quick dry non-warp adhesive alternative but not fume-free. 30 minute epoxy whenever strength and vibration resistance count. 15 minute epoxy where strength is less important but epoxy is what I want to use. That's the shortest worktime epoxy I'll use anymore. I find some epoxy irritates my sinuses when mixing too.

The only things I don't like about the carpenter glues is their tendency to introduce a warp and the slow cure time.

Regards,

Clay