Sorry for the hijack/digression on 35-30/30.
35/30 and .35 Rem are neck in neck in terms of ballistic performance. They can both be heated up in a Handi to roughly .375 Win performance levels. Benefits, as stated above are: cheap brass easily formed, rimmed cartridge, and performance with heavier cast bullets. The longer neck on the 30-30 case allows pretty chunky hard cast bullets to be seated. In lever guns, that usually runs up to 280 gr bullets, but in a Handi, your throat reamer and barrel twist set the limit. A 300 gr hard cast gas checked bullet at 1800 fps seems quite achievable in a Handi.
On the subject of barrel twist, I am stalled somewhat because of the initial investment and reaming brings the cost down, but is the .357 barrel twist rate of 1:18 3/4" enough to stabilize a 300 gr bullet? Because, if it isn't, there's no sense going this route to shoot 200 gr bullets when both 30-30 and Max will get you there.