I left for 9 days....shocked my pool before I left; left the solar cover on to minimize CL loss and evaporation, and left the filter running on low 24/7. Pool was clear on my return, but I was just about out of FC, I was taking a chance. Last year I had someone add bleach for me 2 times during 11 days.
Some things to consider: pump malfunction....no cover and water evaporates rapidly....
Is there someone who can check on your equipment, water level and poor in a jug of bleach mid-vacation? How long are you planning to be gone?
You can use Polyquat 60 as an algaecide, but that's the only one I'd recommend.
There are others on here who have shocked and turned off the pump, fearing damage to the pump.
If you can't cover it and fear pump damage from evaporation or malfunction, you can shock, shut off the pump, and use a floater and pucks, make sure your CYA is not too high to start, your PH is at least 7.8 and your TA 100 if you do that (pucks are acidic)...
Anyway, those are thoughts that come to mind.