Never been either. Been to Johnson Sauk Trail like you several times. I've pulled into Greenriver and just from what I can see it looks a little more open than Sauk is. Lot's of woods at Sauk. I think 1Pheas4 has been there.
This is the place I was telling you about Mike. You can purchase remaining permits (if available) on the ILDNR website or just show up and wait on stand by. If you go the stand by route make sure there's plenty of open permits before heading out there.
Green River is a nice place to hunt. They have some good people working there too. The pheasant habitat work they've been doing is amazing. Warm season, cool seasons, willow whips, cattails, a few strips of food plots here and there. Great pheasant habitat. They have wild and released birds.
Went hunting at Green River about 2 weeks ago. Decent hunting depending on the field you hunt. Be prepared for fields of thistles and briar thicket. Overall good area and always fun just getting out in the field!