We've a few jets available in my part of the world, if you feel like travelling. Presently there's the odd L-29 for sale, and a friend of mine was flying one on a PPL ok (VMC only!).
My passion was never jets, I was lucky enough to fly and be 'rated' on a large machine (>5700kg) just with a PPL at the time. Given the answers you've had I'm slightly confused as to what you can do there but it seems you're taking a sensible route to fulfilling your dream, I trust it works out!
FP.