A few capital ships that are not carriers are known from the TV-show Space: Above and Beyond. They are of different kind, one of these craft could be described as a Fast Attack Craft (FAC) in style of operation. Heavily armed but presumably not well protected. These craft aggressively attacked Chig carriers in orbit of Ixion?.
The larger ship known is still considerably smaller than a a SCVN or freighter but well armed.
One named ship of one of the two types is known, the Battleship Charles Lacey Veach.