The L&R trade gun lock looks more like a French lock to me, and not really appropriate for a Northwest gun, which was a quintessentially British arm. There were some later American and Belgian versions, but they copied the British design.
I would agree with a very large, round-faced English lock. Track of the Wolf had one of their own, but I think they have had difficulty stocking these. Davis locks have been reportedly hard to get. The Chambers early Virginia lock is not perfect but I believe would be acceptable. The Kibler Colonial lock might also work, if it’s big enough, but I don’t know its dimensions. Again, it would not be perfect but might be acceptable.
Danny Caywood used to sell his line of locks, separate from his guns. I have one of his Northwest guns and the lock is excellent. I believe these also come with the “fox in circle” stamp already in place. I associate this with Northwest Company guns. If I remember correctly, the HBC tended to use the “tombstone fox” mark, at least until the merger in 1821.
Best regards,
Notchy Bob