I've kinda held off reply to this, but I guess it's time. First, the LG Mgt area is NOT a dog hunt area so one wouldn't experience the same techniques there that would occur in one.
Even if he's experiencing continual cruising on area roadway that say's he's actually hunting the roads themselves. Believe me, I have hunted LG, and there are PLENTY of places far removed from disturbing vehicular traffic. The Heart Island area comes immediately to mind.....further, if those vehicles are actually operating off road, they're in violation of Mgt. area rules and I know for fact that if discovered they will be cited.
Far as shooting from a vehicle goes......it IS legal in Florida........there is a requirement that that vehicle or craft must be stopped prior to so doing.......Chapter790 also mandates a 1000 ft. distance between other folks tho.
Relative to a private spot....well, as others have stated, good luck! Unless you know someone well or are family you are going to pay a hefty fee.....IF you can even get an invitation onto club lands. Rates for private holdings that I'm aware of in this area run from 1100 to 1500 a year and are going nowhere but up!
I'll add the observation that the OP could easily find secluded spots (and productive ones at that!) very near his home.........ie: the area along the St. Johns just west of the Whitehair bridge off 42............for that matter, a HUGE portion of the Ocala is open for still hunting only North of 40..........and if you can't find a spot there, there's something wrong with you!
My take is that the OP hails from somewhere in the NE or MW and apparently has really not adjusted to, nor learned just how to hunt Florida......it IS different, but not an insurmountable problem to have an enjoyable experience. I run dogs, use the Ocala and manage to find times and locations where I have little competition, since that method requires large areas my belief is that if properly aware, one can easily manage the less intrusive still hunt option.
Far as gripes go, I, and a LOT of others would thank God if the Forest Service would get completely rid of the 4 wheeler/dirt bike crowd........talk about environmental damage and reckless conduct.........there you have it in spades!
If the OP would like some experienced advice from over fifty years of experience in the area I'd invite him to PM me, glad to help if I can.
But, please, please don't fall into the trap of damning what you've seen less understanding it, more importantly don't add to you difficulty by saying "we didn't do it like that back North!"