Lug recess cleaning tool for 3-lug actions

[ELR Researcher]

I own a Barnard Model P and have been trying to find a cleaning tool to reach the recess between the action lugs and the barrel. You can't see much of this area and its hard to clean. Seems all the tools for this area are designed for 2-lug actions where you have a straight shot between the lugs. Any suggestions, contacts for such a tool?