New brass should solve the problem with splits. I had no idea Midway carried so many correct dies for .351. I didn't spot it on the caliber list, but a search turns up
quite a list of both Redding and RCBS, and dies to get down over the bottom of the case. Never occurred to me to look.
As I suggested, the .357 die may work if the brass is in the right tolerance range and your chamber is wide enough. It's the expanders over expanding the mouth that you need to watch out for. It depends on the design. If you used a Lee Universal Expander, there would be no problem. If you used a Lyman M type .357 expander, the bullets would quite possibly end up falling in. I see you can buy RCBS expanders separately. If you have their expander die in a different chambering, one of these should screw right in and let you expand correctly.