I'm just repeating something I think I read, but the difference between BLC and PBW when I looked it up was concentration. BLC is much more concentrated.
I just fill a corny with 2G of hot PBW, pressurize it and run a couple quarts through the line. Let it sit for 30minutes to an hour in the line, then run the rest through. Do the same with clean hot water, then starsan.
I try to clean as many lines at once as I can since I already have the PBW and startsan mixed up too...
Edit, sorry I should read more carefully. They're not hooked up...yeah, oxy or pbw will work just fine. If you have a faucet brush that helps too.
First Brew was thanksgiving 2011, I'm at 103 batches and counting (as of 11/11/2014), and ran out of room in my signature to list them all.