I got my hand press for doing seating/OAL tests at the range on pre-loaded cartridges. For that, it's fine but given the difficulty of seating a charged case in an over-grown pair of pliers without losing part of the powder, I sure wouldn't want to load much handgun ammo with it. If I wanted to do what you want to do I'd mount a little "Reloader" press to a short length of board so I could "C" clamp it to a table.
Breech-lock? There's no valid reason to wrench dies into a press, especially Lee's dies, finger tight is plenty tight. I can swap hand screwed in dies in less than a minute. The few seconds of "time saved" with anyone's breech-lock system would be too little to matter so I see that gimmick as a great solution for which I have no problem.