I'd suggest not using the path's during the normal golf day. Flying golf balls can cause serious injuries. And you can't expect the golfers to watch out or wait for you. Sure, they WILL wait, when they see you but now you have held up the entire course. And the real danger is that they don't see you (ie, you're around a corner or behind a tree as they start to hit) and then you come into view as the ball is already in the air.
OKW is near the very start of the LBV course, so the golfers will show up within about 30 minutes of the first T-time. The first T-Time will depend on the time of year. During the busy periods (and summer is NOT one of them - its too hot in FL) you can expect the first T-Time to be just after local sun-rise; perhaps 30 minutes or so.