For a flight to be instructional, it must be carried out in either
a) a public CofA aircraft, or
b) the student owns/ part owns the aircraft in which instruction is being carried out.
What I understand you to be asking is if there are any instructors who have their own CofA aircraft that they are happy to provide free tuition in. I think I can say safely say that the list will be painfully short.
There is no quick way to getting your PPL. Pay your money and get the best training you can find. Once you are qualified, you will still need to build up to 150 hours PIC to begin your instructor's course. Ways that you could look into to help build your post PPL hours included glider towing, parachute dropping, maintenance flights. A trawl through the private flying forum will give you a better angle on these areas of flying