3 days safari in private game lodge near Kruger - advice and sharing

Digging deeper into the safari question I found I would prefer to go to a private game park rather than to Kruger itself. I am aware it is expensive but there are some "budget" (relative!) options, just within my range for this single opportunity. I only realize my habit of travelling solo seems to be extravagant in this case since the extra rate for a single is quite substantial. On top of that there are places like the Klaserie Eco Camp, high on my list, which do not cater for singles at all. And if one does not take the package from Jo'burg it might make sense to share a car, e.g. to go to the GomoGoma Camp which cost about 2400 Rd/person/night sharing.
I am planning to do the 3 days trip around the beginning of November 2015 ( starting between 28th Oct. and 2nd Nov.) I'd be delighted to find somebody to share the trip. I am an experienced traveller (retired architect, spending month travelling in China, S.E. Asia, Central America, but until now only the north of Africa) Though travelling alone I found many friends on the road or in hostels, I am open minded and friendly. So, if anybody likes to share a safari as described, please tell me.
And if anybody of you people on this forum with all your experience of Africa can recommend tours or operators for this kind of safari please let me know - I trust personal recommendations more than Google!
Thank you!
Goetz