HM Sloop Hotspur

First off, I encourage you to make this a new post, where people are more likely to see it, in case people other-than-me have suggestions!

Let's see, I enjoyed binz and shiplizard's The Man in the Seine, in which Bush is the Doctor. It's a prequel to this Big Finish audio that doesn't exist.

I also enjoyed neveralarch's Masts and Rigging and Things, a humorous little ditty about the Master meeting Lt. Bush and also hating the 19th century.

Just a little sideways from your request, brewsternorth has written a Doctor Who x C.S. Forester story: A Lie Twice Told (Eighth Doctor & C.S. Forester RPF)

And that's about all I've read personally.