I've got a Park chain cleaner and it's the next best thing to a solvent tank. I spray the chain real well with Simple Green to soak it. Then I used straight SG in the cleaner. Then I do I ddilute solution, then water, air dry. Park has directions on their web site. I don't bother with their brand solvent, I use SG for cleaning just about everything on the bike.
Or, just spray it down well with SG and go after it with a grout brush or a tooth brush.
penny