Insatman: As others have noted, an LT1013 will do everything you want it to do for a LTZ amp. You don't really need expensive resistors around the LTZ, since the LTZ is more forgiving to resistor drift than something like a 7V-10V boost circuit - You just want decent resistors, and the heater ratio pair is most important. PWW are perfectly fine and the preferred choice, and Edwin will give you a deal on an LTZ set, too.
Yes, do some reading, but for sure read page 5 of the LTZ1000 datasheet regarding the difference between the A and Non A version:
The LTZ1000A should be set about 10°C higher than the LTZ1000. This is because normal operating power dissipation in the LTZ1000A causes a temperature rise of about 10°C.
Your heater ratio of 12k over 1k is really pretty low, even if you were using Non-A. You always want the HEATER circuit to control the die temp, NOT the ZENER. We always use a range of 13k to 15k over 1k for our needs with LTZ1000A, I know some here use 12.5k / 1k. The cooler you get on your heater ratio means you have to keep a cooler ambient on your LTZ - and if that heater goes out of regulation (or if the Zener starts controlling die temp) you will have a guaranteed crappy Vref.
Also with the A version you normally don't need the 400k (or whatever value you empirically test). If you think you must use that, I suggest you get the circuit running within spec FIRST, and then only add that extra resistor as required - and after you learn how the circuit works. As the circuit ages you might find that resistor isn't helping LTZ1000a TC as much 5 or 10 years from now - and that's why LT recommends against it for A version. It's your party though, do what you need to for your goal.