Another option to consider: use a voice recorder in-line with your audio cables to do your logging for you. If you can set up something where the recorder runs while you make QSOs (either voice or CW) then you eliminate the setup and tear-down of logging supplies (pen, paper, kneeboard, etc.).
Additionally, if you’re able to rig a backpack-mounted antenna on something like 6M then with a headset and SSB you should have enough reach to begin calling as soon as you enter the activation zone. By the time you get to the top you might already have a QSO or two in the recorder, and someone can spot you. Then you switch over to 20 or 30 on the summit and keep rolling.
Something else that may or may not work out would be to plan your lunch break to happen somewhere in the activation zone. It depends on the mountain and the timetable of course, but on some routes you might be able to talk your climbing partners into a good “lunch spot” that is also just within the activation zone. Then you can bag the peak, everyone will relax, and take your lunch break down off the main ridge a bit. While your partners chow down on granola bars you send out some CW.