The XLT is a great cab, but it does have a mid bump. That may be what's skewing the overdrive to your ears. The XST is similar, but handles a bit more power, has more lows, and less mid. (And sounds pretty good to me with my OCD pedal, or the TH500 cranked.)
Unfortunately, I sold off my XLT cab, before playing around with overdrive.
Aguilar DB750...Aguilar TH500...Eden 210XST...Eden 210XST...Eden WT-550...AER Amp Three