I built a clamping jig for glue-ups like this. It's a horizontal piece of melamine with "L" shaped vertical melamine pieces on one end. I use mini-bar clamps. When I get my pieces made, I line the jig with wax paper (so the epoxy won't stick to it) then line up my pieces in the order I want them to occur. I put glue on both sides of each piece to be attached then loosely fit them in the jig. I use a waste block of 3/4" MDF on the outside of the blank as a clamping guide. I loosely clamp across the blank first to get the blank squared up. Then I clamp the long way and tighten that clamp then the ones across the blank.
I have used CA, Titebond, Gorilla glue, and epoxy. Epoxy works the best, especially when it comes time to drill the blank. I saw someone who put tongue depressors on all sides of the glued blank then taped it in order to provide more support when drilled. I haven't tried that yet, but my next segment I'm going to.