While the main parts of the route may dry, I suspect that the descent chimney, which has rappel bolts at the stations, will be wet, slippery, and possibly running water. I would also very cautious about the fourth class traverse beyond the meadow, which is the last roped section. This will be very wet, very slippery, and the protection on this horizontal traverse is mostly small bushes that are not very strong. Also, I think the downclimb/rappel just before arriving to the Middle Tower Notch will be damp or wet. This is north facing. I would not down climb it after any moisture and if you rappel it, you must rappel from a single bolt, which is not recommended.
If you had to do this on Sunday, I would suggest doing "Bullseye" to "Derringer" to join "Old Original" start of second pitch. Then descend "The Hideout" at end of third pitch. Not as good as the entire "Old Original", but keeps you in the drier sections on Machete Ridge.