The bullet needs to be minimum of two thou larger diameter than the groove diameter of the barrel for best results. Three thou may be even better.
Marlin micro-groove diameters are usually oversize, .3095" in the grooves for 30-30 is common, so the bullet needs to be at least .310 diameter. The trick is to get a bullet seated in the case that is large enough to fill the grooves in tghe barrel, and will still allow the case to chamber with the larger neck diameter of the loaded case.
Also, you must get all the copper fouling out of the barrel for best results with micro-groove barrels. Sweets 7.62 or plain old household ammonia is your friend.
You will only know by trying.
Ted
My experience with a 1894 Marlin in 44 Spl/Mag, bore/grooves are generous. H&R is not microgroove, the groove may look shallow but they are probably "normal" SAAMI (.450/.456). That H&R was made for cast. Are you using Black Powder?
No experience with 45-70, but COWW is app 12.5 BHN, not hard by todays standards. Lino is 22 BHN. Most commercial cast is 92-6-2 and around 15.
A gas check does work. Things do not need to be as "right" as for plain cast.
An easy experiment is to heat treat the bullets you have, make sure it is COWW only, no lead, no stick on WW.
More details would help, as you may have an obvious issue. Powders make a difference, velocity makes a difference, bullet weight makes a difference.
5744, 4198, 4759 are my go to powders for cast in 38-55 and others. 1400 to 1600 fps is a good velocity for soft(ish) cast. You didn't indicate any leading issues, so I'll assume that the lube you're using is good and your velocity is in the zone. If it were my rifle I'd start with a 405 gr cast @ 15 BHN, with SR4759 or 5744, with Trap Door data.
Search for BPCR if black powder is your thing. Your best help may come from other forums. H&R made lots of the BC, and 45-70 has lots of followers.
Came close to buying one of those Buffalo guns, on more than one occasion, especially when they were clearing them out in the end.