Okay so here's what I have decided to do:
I have two chains, so I will get a link tool and push the rivet out of the broken chain and install an SRAM powerlink onto it.
I'll then put the old chain in a jar with maybe a half cup of odorless mineral spirits and shake it clean. Once done I will hang it out to dry overnight, then put it away until the second chain gets dirty. Once that happens I will replace with the now clean chain and lube it.
I think I will give white lightning a try since dirt seems to be my main issue and see how long it lasts...
Sound about right?