You were right, scook, it was still running in the background. There was an error message popup I hadn't seen for ARX and that's why it was stuck. Anyway, I was wrong about the Line 6 plugin being 32 bit. It was the 64 bit version, but after deleting the old directory from Platinum and scanning the new directory, Platinum's meters don't spike and I don't have dropouts. I remember having to uninstall all my Line 6 stuff a few months ago and perhaps something became corrupted. So just to push the new release of Platinum, I just opened the project I've been having issues with, left my network adapter on and my browser open, and played drums through AD2 along to the tracks without any dropouts or glitches while the meters were running low all along. Seems to be great now!
P.S. Just wrote and sent this message with file playing in the background without a hickup!