I normally drill a couple really small holes for the stiffeners, 1/16" is only suitable for larger pieces. I also swear by Loctite 380 for a strong bond, and as a bonus, it is jet black and matches most steamers.
Many times if it's possible to hide, I use JB-Weld, probably the most used adhesive in my shop. JW-Weld isn't as good if you are just joining two pieces and don't have any hidden surface for additional strength.