One of my coolest finds was at a local electronics shop. Originally intended for lubrication, but it will work for epoxy...

Syringes with blunt "needles". The needles are about an inch long.
If your t/e and control surface are solid or if they are built-up but the hinge mounts to a solid area (like it should), you can suck some 30-minute up into the syringe and deposit it into the BOTTOM of the hinge slot.

Before the epoxy has a chance to cure, suck up some alcohol repeatedly... one syringe/needle should be good for one or two building sessions.