I agree with Wasp, that exemption only applies to part 141.
However...there's a big loophole you can exploit here.
ALL of the limitations on what a CFI can or cannot do usually only apply to specific types of training, usually "training required for a certificate or rating".
This means that the 2-year rule applies only to the ground training and aeronautical experience required for the rating. There is actually very little REQUIRED training for a CFI rating. IIRC it is three hours flight and no minimum on ground training.
This means that you can train the student to proficiency and do all the ground he needs, and then turn him over to a 2-year CFI for a couple final practice flights, ground knowledge check, and signoff.
As a freelancer it's not a bad idea to send the student up with another set of eyes before the checkride anyway. We used to do this all the time.
Actually ANYBODY can give flight training for the purpose of learning (I learned tailwheel from a non-CFI). You just need an appropriate rating to knock out the minimum aeronautical experience, ground training, and signoff/endorsement. Since there is usually no minimum amount of ground training (part 61), anyone can do the training and then a CFI can legally do one comprehensive knowledge check, which when logged, will count as the required ground training. Self-study is the same principle: you are your own teacher, and your CFI checks and signs off on your knowledge level.