After several layers, ultimately at some point during all my prints the print head moves off to a side & tries printing items offset. I have no idea why.

I've cleared & reflashed firmware
Checked the physical setup (Towers, belts, hot end, heat bed level & down snug) tried different RH's, all different slicers & frontends (RH/Slic3r, MatterControl, Cura, etc et al)
Run Calibration over & over & small calibration objects / prints are ok
Tried all the stock nozzles .35/5/7
ABS & Taulman Bridge
The prints & alignment is always fine for 10-30 layers & then just... Like everything migrates over an inch.
USB connection live from RH or MatterControl and straight from an SD card., same results.
I'm just not sure what's going on or where to begin looking at this point.