After running tests in both the car and house today, the only thing I can come to a conclusion is the electricity put out by the invertor is causing the disconnect *somehow*
The frequency of VAC in the house is 59.96-60.00 solid. The car's is 61.66-.99 with spikes up to 70hz. I believe that is the culprit somehow.
Also, voltage seems to fluctuate more rapidly on the inverter for obvious reasons.
How and why this affects the power going to the USB bus (and only the USB bus I might add, nothing else in the computer is affected) I'm not sure. While on the house's VAC, the USB +5 is a solid 4.96 no matter what. While in the car it's 4.96-.97, but the moment it hits 4.98 the TS stops responding unless I disconnect and reconnect the cable.
So, my next thing is to find a new inverter and hope that fixes the issue, or find an alternative means to powering the TS. Perhaps another voltage regulator or something?