What would be good to clean this with?
Shadetree,
I would start with rubbing alcohol (70% or better) and a toothbrush. The alcohol will clean the solder flux but not sure about your "greenie's" in there though?
Recently, in cleaning the circuit board side of an old radio, it took about 3 passes with Q-Tips and alcohol to get down to the bare board. First go at it the board turned chalky white (I think I didn't wipe it off quick enough). Passes 2 and 3 resulted in much better results. I have used a small spray bottle and applied the alcohol to about a 1.5" square, scrub with the tooth brush and use Q-tips between solder leads, then clean/dry Q-tips to remove the residue and dry the board.
73's
David