This will be my fifth season hunting public properties and have only hunted a few properties around Central TX so can't compare them to the ones up North. But, some of my general observations: 1) properties I hunted opening weekend were pretty busy, but was plenty of room if you're willing to walk away from the dedicated road; 2) crowds die off pretty quick after the first week or two; 3) have been told there aren't birds or many on public lands, but not true - have always had plenty of shot opportunities with some seasons better than others due to conditions leading up to the season; 4) properties change season to season based on weather, landowner's use/needs, etc. so be prepared to try other properties if nearby and the one you're on seems unproductive or difficult to hunt (tall weeds, no food, no water, etc); 5) some properties can be better in the morning or evening so try both hunts if possible; 6) some parts of a large property have more action than other parts of the same property; 7) sadly, more people than I'd like to imagine will leave their spent shells and other trash behind so I pick up as much as I can in an effort to keep the property as nice as possible (out of respect for the landowner, their livestock, and the land itself).
Based off the observations above and for other reasons, I like to park and get away from the dedicated road where I have less competition and feel safer. I also like to go during the week whenever possible to avoid the busier weekends. I try to arrive pretty early to get to the area I'm interested in and ready and will stay later (on morning hunts) than most to try to get an extra bird or two. Sometimes if there aren't many birds flying and if there aren't other hunters close by, I'll create shot opportunities by walking fence lines and edges of fields to flush birds. (I'm sure some people look down on that, but with the time/gas/money spent I want to bring home as many birds as possible.) Also, I try to hunt a property I'm interested in during the morning and evening to see if there are any patterns and how productive it is overall. I have definitely found patterns that persisted through multiple seasons and has been helpful in focusing on what properties to hunt at certain times.
Sorry if I haven't answered your questions about the specific properties you're interested in. I definitely think it would be worth a try, especially for a weekend and even more so if you can do a long weekend or during the week. How can you go wrong spending time with your kid having fun outdoors, teaching them about hunting, learning new properties together, and hopefully -no, probably- bringing some birds home? My biggest recommendation would be to avoid the opening two weeks. There should still be plenty of birds with less competition which allows more flexibility to adapt to conditions, flight patterns, etc. It'd also be safer since you have your young son with you who is inexperienced or less experienced. My other strong recommendation would be to get away from the dedicated road where most others park and hunt. Also, in my experience, the road is often in a less productive area of the property. Oh, and don't forget...bring lots of water!