Congrats, as always, whatever works!!

But to be honest, good epoxy has impressive compressive strength, some members have just used JB Stik with no shim, its compressive strength is 10-14kpsi which is about what forces are upon the hinge according to some here that have calculated that spec on high pressure chamberings. Super Weld's spec is over 3 times that at 36kpsi and easy to work with, so if the solder doesn't work out well, you have an option. Let the epoxy set up partially, then lock the release agent treated barrel in position and allow the epoxy to fully cure, remove the barrel and file away the excess epoxy.
I've worked with a couple barrel pivots that had been botched by previous owners, the easiest solution for me was to file the pivot oversize to clean it up and square it up to the bore, then epoxy a thicker shim, then cut it to fit, one such barrel was a 270 Ultracomp with a .026" stainless steel shim, I put about 90 rounds thru it before selling it to a member here, he gave it to a relative who was still shooting it at last report. So there's always a work around to a butchered pivot.
Tim