Sorry but there's no such thing as building a good, fast cheap Z to rival new cars. As you will find these things cost a lot of money to get perfect. The problem with running webbers is that you can either tune it (jet it) for bottom end power or for top end power but never both. If you build an L-Series race engine using webbers the car wont pull till well after 4000rpm. If you have is streetable (good bottom end torque) it will drop power before 6000rpm. The only way to get the best of both worlds is fuel injection but that alone could set you back 9k.Then you have all the engine work ontop of it.
If you go down the path of building a Z for what it is......a 70's car then you could be really happy and not spend a packet. A Z with over 200 engine HP is good enough to give most thing s a decent run on the street and still be a bit of fun on the track. You can get that from running a L28 with 10:1 compression, extractors, a decent cam, mild port work and even twin SU carbs. The engine will probably cost you less then 3k to build and last a very long time. Then you could do suspension and brake work.
By the way webbers drink fuel like crazy too but they do look and sound the part.