I have cut osage in August and then again in October and really couldn't tell much difference in the amount of sap that ran out of the wood, but then the sap probably hadn't gone down yet in October?
The worms that I found in August cutting and October cuttings were on logs that I purposely left whole and were alive and well inside the log burrowing away into the heartwood some 6 months later. I don't think it matters to a worm whether the wood is alive or dead, they just keep chewing and burrowing until they are ready to emerge and hatch into whatever kind of insect they turn into.
Your only real safe option is to cut/drop, split the staves, debark and remove the sapwood in a reasonable amount of time, like within a week or less and get those staves sealed.
Like DCM4 said, this time of year the eggs will be hatching soon and the damage begins almost immediately once they do and it's off to the races to eat some juicy heartwood.
My suggestion is still get a few logs and finish them all the way through to being put up with bark and sapwood removed and good heavy coat of sealer on them.
Then go back and get more later, maybe when it gets colder this fall or winter.
I like the idea of getting some young guys to assist you also, wish I had help with my osage cutting cause it sure would make life alot easier. You will be sore for days afterwards unless your a professional body builder or a triathalon competitor, so you may want to schedule a few days vacation before or after a weekend when you get ready to harvest. Plan ahead with a good sharp chain saw and extra chain, several wedges, pry bar (you will need that!), and a heavy sledge hammer. The pry bar and wedges will be your most valuable tools next to the chainsaw when you get the bar or chain pinched, and it will get pinched trust me on that. Hedge limbs never come off straight when they fall, they always twist one direction or the other and will pinch your saw so tight you have to drive a wedge in there to free the bar. Or carry a spair chainsaw to free the one that's hung up?
You'll see what I'm talking about soon.
Good Luck.