if you could convince 'someone who isn't you' to post some pics, or even just more details about the situation, it would be easier to help.

that being said, maybe some kind of wick set-up would work, no danger of flooding, you just need a big enough reservior (that's where having more details would help)

for example, get a small kiddie pool, fill it with water (or nutrient solution) and put some milk crates in for your plants to sit on.
then, repot your plants, including a wick coming out the bottom of the new pot (place your wick in the pot so that it goes well up into the pot, and old tee-shirts make nice wicks)
then, just dangle the wicks into the water and go do your thing, if you've used a big enough reservior, when you return, your plants will still be alive, lol, maybe, lol

anyway, good luck