Another option is to transfer some of your Titebond into a tiny elmers glue bottle (1 oz.) with the orange twist cap. It never hardens up and it can reach most places. For the really tight corners I have a piece of scrap 1/32 ply shaped like a quill pen. I dump some glue on the tip from the Elmers bottle and transfer it into the recesses of the structure smearing it along the surface as I go.

The nice thing about building this way is I can pin the entire structure together, check and cross-check alignment, and then start gluing. If you don't feel comfortable with the Titebond, glue a couple of pieces of scrap together at right angles, let it dry and then try and pull it apart. It's amazing stuff.