Bill I let my prints dry on screens then 2min @ in the drymount press @200...... I can't imagine tying my press up for a week at a time.
I can fit about five prints in the press between mat boards and slips of thin flexible stock that keeps them from sticking. That's a weekend's work. If they are there one, or two weeks doesn't matter. If I am ambitious like last go-around, the prints that aren't in the press go into a stack of screen-dried prints between a couple "applebox" type wooden frames (under a stack of more prints).
I can go a few weeks between printing sessions, and during the week I might put them in the press. But as mentioned, I haven't turned it on in a long time.
Flatness for me is relative. I never achieve the flatness of resin coated prints. But it's always good enough.
I suppose if I needed a true flat, I could take one of the near-flat prints and heat up the press and put it in.
Now silk-screen printing t-shirts is a different story. They need the heat. You've got what it takes to setup shop.