Use a short length of narrow plastic tubing, such as you might find on a fish tank, to **** up the water left on top of your block. Run the tip through the manifold crossmembers, mop up the rest with a small rag. Those paint brushes with foam heads work fine too, use a small one.
If you have spun off into the dirt blow the compartment off with compressed air first. It will save you a lot of water later. If you've got a source of compressed air or "clean wind" (air with no oil in it as some power blowers with gas motors spit lubricant) use it once the compartment is washed.
Put towels over the motor if you do the inside of the hood. The insulation can soak up a lot of grease (brake dust and tire residue as well if you have cut open the wheel arch to the hood vent above as a brake cooling measure).
Wipe off your winshield wipers once you are through splashing around under the hood. They can collect grease and streak.
Tuff Stuff is a pretty darn good cleaner, they sell it door to door here. Works great on carpets, leather, even takes enamel paint right off your skin, remarkable stuff. No odor.