You can absolutely put them together like that. We used to do that to get better arc time. Instead of running one plate fully, then fit up, etc. We'd run root, root, hot pass, hot pass, etc. It seemed to help to be able to correct mistakes right after you make them on the next plate, when it was still fresh in your mind.
Typically on 3/8 plate we'd do a 22.5 degree bevel, 3/32 land and 3/32 gap. 6010 root pass, then 1 stringer hot pass, 2 stringers to fill, and a 3 stringer cover. Hot pass through cover were done with 3/32 7018.