You are one nice guy, Dave. I'd have no hesitation about breaking into that other guy's e-juice if the alternative were analogs.
Seriously, JC has a guarantee where if you don't like a flavor, you can return it for a complete refund, s/h included. They are known for being a very customer oriented company.
With that in mind, I'd break into the stash, pick a flavor you think you can live with, and vape it until you hear back. I would be SHOCKED if they didn't tell you just to keep the liquid and then send you out your original order free of charge (or, at the very least, keep the opened bottle for your trouble and send the unopened stuff back). Worst case scenario, you pay for the bottle you use and return the rest.
Even if they got something in the mail today, it sounds as if it wouldn't reach you before you run out.
This is life and death . . . .