I just ordered a Trijicon TR24-R scope for my No. 1H. Since it's a 30mm tube, I have to order rings for it. I'd like to use the Warne #1 QD rings. Does anyone know if I'd need to order the 15RL rings, or will the medium height 14RL rings work?

Seems like Warne has a mounting chart on their website. you might try that. Otherwise, I'd call them and ask. they have always been helpful to me.

Go with the lowest mount possible, if you get your face off the stock you will get hammered.
Set the scope to maximum eye relief. Some kind of Big Bore is assumed as you mention Ruger 1-H.
Make sure you butt-stock is tight and back off
1/2 turn on the fore-end screw.
Good luck and good shooting.

Tetonka
DRSS

I compared the medium rings that came with my Boddington gun to the Accupoint, and looks like the Accupoint will need taller rings. I ordered a set of high gloss finish rings from Midsouth.