I'm still in the early stages of loading for my Single-7.
I've found that my .311" bullets I've previously used in .30cal rifles and pistols shoot just fine.
In fact, the .311" seem to shoot a tad bit better than the Lee .314" TLSWC mold that I've used to cast some with. These were lubed with Lee-TL and sized in sizer to .314".
Some .311" Lyman 115gr FNGC (cast to ~122gr) with Hornady Gaschecks over 3.8gr of Longshot in .32H&R cases shot really well.
In the most recent issue of "Reloader Magazine", Brian Pierce has some loads listed for 115gr FNGC's as well as 130gr SWC's.
Best powders according to him are Acc.#9, PowerPistol, and Longshot for the heavier bullets.
I've found the with 78gr and 93gr Lead RN bullets at .311"; Bullseye is giving me best results. (no surprise there!).