There are pucks without stabilizer in them, but they are cal-hypo and are NOT going to work for what you want. They used to make a good one that was encased in plastic like a medicine capsule, and they worked great, but for some reason they did away with them and the ones they have now just go to mush after a day or so. Won't last long enough for you to do what you want to do.

Keeping the tabs in the chlorinator while you're away, but using bleach while you're at home, is a reasonable plan. Just make sure the floater is tethered so that it can't float over near the pool edge and park itself there--you'll end up with bleached liner from concentrated low pH and high chlorine. I would also consider raising your pH just a bit before you go, just to make sure it doesn't drift below 7.0 while you're gone. If the CYA gets too high, then you can either backwash/refill some of the water to lower it, or just up your chlorine levels to compensate. If you're only using them occasionally, though, I don't think you'll have a problem. The other option would be to add a dose of Polyquat 60, give it a day or so on recirculate, then shock the pool and cover it up--that's what many folks around here do when they're closing for the winter. The worst case is that you may have a little algae when you come back, but that's easily dealt with. My concern would be leaving the pump running for two weeks with no one to check and make sure the skimmer isn't plugged up with something, the water level isn't too low, etc....

Janet