Recurve, don't be disappointed if Mink Oil and some others listed don't solve your problem. I have a Rice .40 cal barrel that did the same thing yours is doing, after 2 shots a hard crud ring would form down the barrel and it was almost impossible to seat a PRB through it. The first day was extremely frustrating so I tried Bore Butter, Mink Oil and Neatsfoot Oil, none cut through that crud ring. So I dropped down to a .015 patch and went through the process again with little improvement.
I had started out with 2fg so I tried 3fg and it was a little better but still untolerable. I had a bottle of LeHigh Valley that I'd never used before, so I lubed a patch with it. It cut right through that crud ring. I was in business!
All that was several thousand shots in the past. Now I can use most any lube and make it work because I've learned how and because the barrels broke in. Funny thing is this is the first barrel I've owned that had this problem so I was completely unprepared.
Just a thought but maybe a spit patch would help breakdown that crud ring?