You may also be looking for the similarly named Boradis III.

Barradas III was the uninhabited third planet in the Barradas system, which was in the Taugan sector. It was the sole class M planet in the system.

Two thousand years before the 24th century, this planet was the site of a Debrune outpost. The ruins of this outpost had been surveyed by the Federation Archaeological Survey. In 2370, this one of several planets raided by a band of mercenaries led by Arctus Baran. During this raid, Commander William T. Riker of the USS Enterprise-D was captured. (TNG: "Gambit, Part I", "Gambit, Part II")

"buh-RAD-us" was the pronunciation for this planet's name from the script pronunciation guide.
According to the Star Trek: The Next Generation Companion, the planet's name was a homage to "Beratis", an alias of the Redjac entity in TOS: "Wolf in the Fold".
According to Star Trek: Star Charts (pp. 45,66) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), the Barradis system was located in the Beta Quadrant. The primary of this system was a K-class star. Two thousand years ago, this system was a destination on the Debrune trade route.