Full length strips are nice. I would go for a slower setting glue.

I have used cascamite, aerolite, epoxy etc. They all work but set very hard and are harder to clean up afteward. These days I use BALCOTAN urethane glue. it comes in slow and fast versions. The slow sets fast enough that one can glue a full length strip one side, move on to the other side, and by the time one is finished there the first side is ok to strip again. It comes in a handy squeeze bottle so is quick to apply to the edge of a strip and also doesn't set too fast for a complete strip. It is also waterproof and easy to clean up with a scraper.

I use spring clamps as tiny saw horses for applying glue. (see Picture)

Etienne