#1). Use .357 Mag bullets? Probably Yes. Most .35's are .357 or .358 BUT with the rifle case you can push them ALOT faster than a pistol (ignoring the "hand rifle" TC kinds). They will be explosive. A 125 grain pistol bullet at rifle velocity just might "blow up" on a rib (or a twig) and not get into the animal to do much damage... so please be careful... b). Pistol bullets are not designed for top ballistic efficiency, so if you plan any real long range... a more pointed bullet... Remington used to make 150 grain spires for the .35 remington.
The greased lead bullet (no copper jacket) will extend your barrel life to almost "forever." Since these are also available and if your bore is not NRA "moonscape"... Cheaper too.
#2). Mr. Epps did a bunch with the .303 and his heirs still run the gunshop. I can never remember the e address but 303british.com will link there. Mr. Epps had both .35 on the regular case and an "improved" case...
Mr. Ackley did a 2 volume set of books available from eabco.com, sinclair, ebay sometimes... The epps cartridges are in volume 2.
There was a pistol wildcat for the hand rifles using the .303 case to make a rimmed .35 Remington. I would guess you could start with that data CAREFULLY and "work up." My next choice would be .35 Remington which is a real low pressure cartridge from long ago. Worked in the high 30,000's CUP as I recall. Like the .30/30 WCF or .30 Rem. Useful. Efficient. But not a .358 Winchester. That data (working around 55,000 CUP) would be way to much for a "smelly".
Lyman manuals from thru the years should have both jacketed bullet and lead bullet data for these cartridges. If you can keep yourself to "just plinking" loads... Lots of fun. If not, becareful of the SMLE action "flexing." Hard on brass. luck.