Smooth On will work fine. Make your gluing surfaces flat, but not smooth. Too smooth and the joint is starved of glue when pressed together. Think about the surface of a ground lam that you would buy for a glass bow. Make it similar with a toothing plane blade, bandsaw blade, corner edge of a file, coarse sandpaper, or whatever.
.385 would get you close, not counting the bamboo. It would depend of course on your profiles, widths, etc. The last tri-lam I made was boo/osage/osage.
The boo was made as thin as I could make it... approximately 1/8" at the center and 1/16" at the tips.
The center lam of osage was 3/16 parallel from dip to dip, then tapered from each of them to the tips.
The belly lam of osage was 1/4 parallel.... leaving wood for removal during tillering if necessary.
The bow is r/d in design, 58" ntn, 1 1/8" wide and ended up being 57# @ 28".
I could go out and measure the exact finished dimensions on this bow if it would help, but basically you just want to set it up so that you're not scraping/sanding into the first glue joint during tillering.