i'd personally dump in a couple gallons of diesel, a few bottles of 90% rubbing alcohol, and a quart or 2 of atf type f, run it around the yard and then drain it.
alcohol is a polar solvent.. water is poalr.. it will disolve the water and carry it out in soloution vs suspensin.
the driving and gear movement will slosh it to get the water in nooks and crannies.
diesel is a good petro solvent to disolve any emulsified oil.. and the atf has good detergents.. and will provide a lil lube for those few minutes of use.
it's the cocktail I use on all the tractors i drag home..