Maybe you can negotiate a deal wherein you clean whatever dishes are currently in the sink, and in exchange you get to use the kitchen faucet for one tank filling?
I agree with the bit about friction-fit PVC being a disaster waiting to happen. Maybe get some vinyl or rubber tubing, it should cost a bit less then a garden hose.
Also, in the past I've seen universal faucet adaptors that are sorta like a rubber funnel that just smushes over the entire faucet. Maybe you can find something like that, and you wouldn't have to bother with trying to remove the aerator and attaching another adapter and such.
Or just use buckets?