Heh sawdustdad - you and I really do seem to walk similar paths. I too used to shoot almost entirely jacketed bullets, and have transitioned slowly to lead. And plated is a really new thing for me.
I like lead. Prefer it in many ways. For starters, it's the most accurate for target applications. Economics is just an added bonus.
Usually when I shoot, I end my day with a few jacketed or plated rounds and that clears the lead out about as quick as any method I can think of. Now, before everybody hits "reply" to scold me for such barrel damaging action, please finish reading this: For starters, I've only been doing it for about 30 years without any trouble whatsoever; so it's doubtful any advice to the contrary will be heeded. Further, I don't run ridiculously hot lead rounds, and I rarely shoot a lot of them at one time anyway. Point is, my barrels are hardly leaded up when I do this. So spare me the admonishment.
On those times when I have shot a lot of lead (after a steel shoot, when I've put over 200 rounds through my revolver, being a good example). I don't do anything magical. I just swab the bore and charge holes with Hoppe's 9 and let it soak while I clean the rest of the revolver. When I get back to it, the lead usually succumbs to a copper brush scrubbing. Sometimes after that, there may still be a little lead around the forcing cone area. I'll just oil it with CLP and put the gun in the safe. I'll take it out about a week or two later (if I haven't since shot it again) and copper brush it again. This second stab at it always gets it clean.