Use Gel CA, not regular CA (superglue). Epoxy will also work well, but that is a lot of work when CA gel is so easy to use. Only downside to gel CA compared to epoxy is cost. Epoxy is cheaper per square inch of bond.
If you are screwing the bottom on, I assume the glue bond is needed just to hold things together while you drive screws, so you don't need much CA, just a few spots.