As an update, the compressor started acting up again on Wednesday and I finally got a tech out to the shop. In addition to the other things already discussed, he brought up some of the things that Northland mentioned above, and is leaning toward the internal switch failing, at which time we'd have to either track down a replacement switch or replace the motor altogether. In addition, we are seeing a voltage drop at the unit, which he said was due to the length of the wire run from our panel, and the wire gauge being too small. He also replaced our 30A breaker with a 60A, and fixed an air leak that was causing the unit to run more than necessary. Otherwise, it ran fine while he was there and he gave us the A-OK.
For the most part, it seemed to run fine all day Thursday. After speaking with a couple forum members and the tech, I'll likely be purchasing a secondary industrial piston unit for now, which will act as our main compressor. I'll use the current compressor's tank for additional air capacity, and also as a backup unit in case we run into any issues with the main one. I have a newer 3ph panel (that we installed when we got our new press/dryer) within 10 feet of where our compressor is, and will move the wire run to that box to ensure there is no voltage drop.
This experience has really helped me to understand the importance of redundancy, and how two smaller units can be better than one of the biggest and best. Fortunately we were still able to meet all our deadlines, but I really don't want to end up in this position again and will be doing whatever is necessary to ensure we don't.
Thanks again to everyone who took the time to post here or contact me privately.