How big are those pots, Bob? I wouldn't worry that the SWICKs will drive up the humidity in the tent at all. They may increase it a little but not huge amounts. You didn't specify how long it was until you traveled besides "the end of the month." The end of the month is nigh at hand! Or, the end of February?
If it is the end of Feb, then I still don't think that humidity should be much of a concern. What would that be, 6 weeks since the flip? Five since you could look at them and say, "by gosh, my plants are flowering?" It's the last 2-3 weeks that are worrisome - when wet conditions may cause rot to rear it's ugly, unwelcome, head. Adding the SWICKs isn't the same thing as five days of clouds and rain on an outdoor crop the second week of September.
I've dabbled with SWICK in a very similar growing medium. Your dirt will wick moisture just fine. The big variable with SWICK is how much water the dirt will pull up and hold - often too much leading to a "muddy" medium. I had good results; nicely moist but not mud.
In my opinion, it's not like you need to train the rig to SWICK in advance. You can just plunk the pots into the perlite SWICK right before you leave to the airport. They can probably go for 4-5 days with a good soaking even without the SWICK at that point. Stick 'em in a SWICK after a good soak and you'll be tickled pink when you open up the tent after being gone for a week.
Easy money Bob.