It can be a nightmare working out where odd noises come from, as there are so many potential sources. Often the sound is acoustic, but lacking any obvious direction making it hard to pinpoint on the bass.
But it could be an amplification thing in your chain.
Is the pick up tight, or buzzing in the slot?
Is there a trim pot on the Rockabilly Pro - maybe you need to roll it off a bit to avoid clipping? (I just checked - I see there's a bridge channel filter and gain - presume you've tried adjusting them??)
If not then it still could be acoustic:
Is there a cable somewhere rattling against the front, or tailpiece?
Are you certain the bass-bar is intact, or that the seams are all solid?
Are the tuning plates tightly screwed in place? Do any of the tuners rattle?
Are any windings loosening on a string (if so the buzz will be at all frequencies but only on that string ... all the above tend to happen only at certain frequencies, but on all strings).