I’ve got a Cheapie Cleaner (“Ice-tools” or similar I think), which I use for “quick” Chain cleanings:
Works best if I stick the bike up on the work stand so the pedals are free to rotate, cycle it back and fourth a few times with soapy water to loosen the crap, empty, rinse out, do the same with white spirits, water cycle again then leave to dry and re-lube later…
The Blow dry with compressed air sounds like a good idea, might start doing that cheers “Davesport”…
For more thorough washes I whip the chain off and soak it in white spirits and/or degreaser, rinse, Dry and re-lube… I doubt it actually works much better than using the chain cleaner in reality…