Edited: With fresh eyes in the morning I see this is a triple-deuce with a 1-9", not a .223. In which case I think W748 would work OK with the smaller case, though I wonder if H4895 might work too.
Also, I stand by my statement of the 68gr and 69gr .224" bullets generally being tolerant of jump to the rifling. They don't need to be set close to the rifling for good accuracy.
I'll also stick with my suggestion that if you find instances of people using either the 69gr Sierra or Nosler match bullets in a similar situation, you should be able to sub in the 68gr Hornady.
Tell us more about your Ruger #1, this sounds like a rather unique bird.