The Ahwahnee, along with 38 other starships, fought the Borg at the Battle of Wolf 359 on stardate 44002. The heavily damaged ship was discovered by the USS Enterprise-D after the battle. (TNG: "The Best of Both Worlds, Part II")
After being salvaged, by early 2368, the Ahwahnee joined Captain Picard's fleet that blockaded the Klingon-Romulan border during the Klingon Civil War. It was positioned near the lower rear of the tachyon detection grid. The location of the ship in the grid was labeled with the ship's name and registry. (TNG: "Redemption II", okudagram)
Background information Edit
The Ahwahnee registry number was visible on two different computer displays in "Redemption II", aboard the USS Enterprise-D and USS Sutherland, where it was given the registry NCC-71620. The registry NCC-73620, which was also associated with this vessel, was not visible on screen, but could be clearly read off photos of the filming model.
Despite the discrepancy regarding the registry numbers, Michael Okuda meant the USS Ahwahnee in "Redemption II" to be the same Ahwahnee as seen in "Best of Both Worlds, Part II" as was evidenced in his ship-listing that was included in the Star Trek: The Next Generation Writers' Technical Manual, 3rd ed., page 28 (already using the misspelled "NCC-71620" registry), which read, "Damaged by the Borg at Wolf 359."
The aforementioned Ahwahnee studio model, whose name was described by Ed Miarecki,  was a four nacelled starship built from two scaled-down Galaxy-class model kit saucers, with marker pens glued on as engine nacelles. The model was then painted and damaged before being filmed for "The Best of Both Worlds".