A bore guide w/o-ring is a good Friend when using wipeout,
My second best friend is a 8" piece of flexible fuel line just a hair bigger than your case....it will seal off the chamber AND allow w/o to push all the way through the barrel.
Let the fuel line hang out the action ejection port to drain "over blow".
I've found the fuel line trick is the ONLY way (OK my way) to clean a lever action or auto/pump type rifle.