Actually, in this case the rotation of the turret isn't an issue. For this stage, I was basically using the lathe as a big, laid-down drill press, with the turret locked from rotating.
The back of the drill body has an 1/8th pipe connection for coolant, but the turret's locking shaft (the T-shaped knob in the photos) goes right through the center. If not for that, I could have just installed the drill, made up a long section of tubing or long hose nipple, screwed it into the drill, and hooked up the coolant.
But because of the shaft, and the tight confines of the inside of the turret, any hose or tube would have to snake around it, and that just wasn't possible.
I'd considered essentially pressurizing the entire turret, by blocking off the other five sockets, but as I said, I'm still very much in the experimental stage right now. I suspect I'd have to add an O-ring or two to keep coolant from being forced down into the turret locking mechanism.
In any case, it wasn't necessary- the external spray flushed the chips quite well.