I always end up just sending untekked weapons to my storage mid-run as those are easy to identify at a glance when I go "now where's the stuff I just picked up over the last few UQ runs?" and that has been enough for most UQs to keep me from having to hold people up trying to pick up all the reds.
Conversely, as painful as it is to me sometimes, I typically try to wait for everyone else to return to gateship before hitting that reset button, and call out to anyone being a bit slow to confirm they aren't just AFK.