This ship was seen in background scenes in several episodes. For detailed information on this design and model, see Yeager-type model.
The origin of the name was a result of reusing the existing decals created for the USS Voyager, which were rearranged (and given an extra "E") to get USS Yeager. Likewise, the Voyager's registry, NCC-74656, was transposed into NCC-65674. The same procedure had been previously performed on the model of the USS Trial, which was made from a USS Reliant model kit, and the USS Constellation, which was made from a USS Enterprise model kit.
The Yeager was presumably named in honor of Chuck Yeager, the US test pilot who first broke the sound barrier.