XD45, I think you may be enough of an exception to the rule that no-one is really offering that as they'd have virtually no interest.
As a local hunter in South Africa I've done some of those type of hunts - self guided (for plains game). I've also had that unexpectedly when it was supposed to be something else... (not good).
Your PH could also always pitch you something uncomfortable to use in the main camp if you feel the facilities are too nice
. You can keep your shower turned on cold and leave your beers out of the fridge
.
As JJ points out, requirements as to what is offered exist and as a non-domestic you WILL be on a guided hunt. You will need to find a PH who likes warm beer too.... You are almost referring to a self guided and self arranged type of trip, which is not possible in most of Africa (possibly in CAR) and anyway almost impossible to arrange properly when you are from elsewhere as you won't have the equipment and would have to buy supplies and rent vehicles etc.
Don't confuse camps with hotels though. I hardly think you will have a "commercial" game lodge (i.e. "camera safari") type experience in most places. You will know that you are in the bush and it should be "rougher" than home, just comfortable and running efficiently. Camps need to be set up for water, ablution, food, cooking, doing washing, skinning, slaughtering, trophy sheds etc. and that tends to make things run better when camps are at least semi-permanent type set-ups. Paying day rates and hunting hard you will have no real time or inclination I'd think to do that all yourself. Possibly a "fly camp" type set-up is the closest you will get. But there will be a main camp fairly nearby.