If you have to use compressed air, blow from the solder side through to the component side, not the other way around. Blowing spreads solder everywhere, and doing it from the component side spreads it all over the components. The solder sticks to the tip of a hot fluxed soldering iron, so it's easy to clean the splatter, if you can get to it with the iron. It took about an hour and half to clean the solder off the components shown above. It took about 2 minutes to do the same job on the other board where I blew from the solder side and and the splatter wasn't hidden in all the component nooks and crannies.