Slug your bore if you haven't already. When I slugged my 9mms, most were .357-.358".
What weight SWC? I am assuming 158. I'd think they would either give an overly long OAL or need to be seated so deep that powder space would be reduced more than I'd like. There are some 158 bullets out there designed for 38 Super with a little shorter length though by putting more mass in the body than the nose.
Something to check- Sometimes when I've tried to use bullets supposedly good for both auto and revolver cartridges (.45 ACP/.45 Colt, .38-40/10mm, etc), that big revolver crimp groove fell right at the case mouth of the auto case. This left the case mouth hanging over air, leaving it's sharp edge to catch and cause malfunctions. Putting a taper crimp on at that point is a touchy thing, since it can easily crimp it too far because there is nothing under the case mouth. Plus, that crimp could wedge the bullet deeper into the case.
As far as feeding, you should be OK unless you have what I just described with the case mouth snag potential. The bullet shape shouldn't hurt. I've used some SWCs (125 and 140 grain) and even an old Lyman design that is more like a wadcutter, and all fed fine.