Unit 4 is nearly all private land. There are a couple great state parks, but those are now closed to NRs.
Do you know anything about the ranch you will be hunting? Size and location? I would talk to the landowners and ask them about the best week. Also, how many other hunters will be hunting during each week. If it is just you, then any week should be fine, but if you are with a bus full of other hunters I would come a different week.