Well It looks like you guys have been busy.
I like the 3000 hour lamp but it is $185.
I do think the longer life lamps are made a little different. The main mode of failure is the quarts failing from the high pressure and higher heat per mm of lamp arc. If you used a lower pressure and a slightly larger shell you could keep the short arc and have longer life but the lower pressure will give a lower CRI. The one 3000 hour 575 I did see had a 75 CRI. The new one you found looks to have some new tech inside.
As far as the making a ballast work the main problem is all the long arc lamps run at a higher voltage so you can up the current but the voltage will always want to be higher than the what would be ideal.
The 575 when new is a 95V lamp but as the lamp ages the voltage will increase. For proper power regulation the ballast should make slightly less current at 100V but if your ballast has a higher voltage than what would be ideal the new power at 100V will be higher. So as the lamp ages the power will go up, this is bad.
The 600 watt HPS ballast is made to run a 110V 5.9A lamp which is the closest "normal" ballast I have found. The main problem is the lamp will make more and more power as it ages. (all MH lamps have their terminal voltage increase with age.) This is not what you want but is what you get. If you changed the cap to give a slightly lower starting power then the 1000 hour power level might also be lower and lamp life would be longer. This means a smaller cap, which will cost another $30 or so.
Let's assume you can always adjust the current to the level you want with the cap.
The real problem is having the ballast make the right voltage as the lamp ages. This means having the unloaded voltage of the ballast be about 1.75 times the lamp voltage so a 110V HPS ballast has a unloaded voltage of 1.75 x 110V (lamp voltage) or about 192V.
The 600 watt HPS lamp is a 110V 5.9A lamp and the ballast has a unloaded voltage of 225 or about 2 to 1 of the lamp.
What we would want is a ballast with about a 165V to 190V unloaded voltage. The closest ballast I have found is a 250 watt S50 with a 195V unloaded output. Two of these together with a slight overdrive would perform vary close to a stock 575 ballast.
The 600 watt S106 is fairly close. If you dimmed it with a 1000 watt lamp dimmer and added some cap it would be perfect. Another idea is to use a 200 feet of 16 gauge wire on the input leads to reduce the input voltage. (A 100" extension cord would work). You would then need to up the cap slightly. This would be a almost perfect match.
If someone would try a 600 watt electronic ballast, it should work fine, but may run the lamp at 600 watts or whatever power level an electronic ballast makes at 95V. (they can make it almost whatever they want for the current ramp-up) With some playing around I'm sure you could adjust one to make the right power but to jump into one of those without the schematics might be a expensive learning curve.
So for the coil setups I like the idea of.
1) S51 and a S50 with the S50 having a smaller cap. (400 watt HPS and a 250 watt HPS.) This would be like what I have with the S106 and a S51. (600 watt HPS and a 400 watt HPS for a 1200 watt HMI lamp) I have a high low power setting and always get to set the lamp on low for a little bit to cool down before I shut it off. If this will give me longer life, I don't really know.
So some of my favorite ballast picks might be.
A S106 600 watt HPS with the 75 to 100 foot of 16 gauge extension cord on the input leads. This is large but simple, add a second 75 footer for a low power setting.
Two S50 250 watt ballast. This is simple and fairly cheep. You will have to add some cap but the voltage is close to perfect so the power will not increase as the lamp ages. It would also be easy for a HI/LOW setup with the two ballast wired together and the over drive cap on a switch. I would add about 7.5uf to the stock two ballast for about 525 watt and have an extra 10uf on a switch for about 575 watts. (I have not tested the power levels).
A S51and a S50. Many have a S51 already and could get a 250 watt S50 fairly cheeply. The cap will need to be reduced from a 35uf to around a 15uf to 20 max.
Two S51 could work also with about the same 15uf on the second ballast. (I bet a 10uf might do.)
If using two ballast the input and output MUST be in phase! It is fairly easy to do just hook it up (+ to + and - to -, this goes for the input as well) and plug it in. If the output or input are reversed it will pop the breaker instantly! I'm so lazy sometimes I don't even look at the wires any more,....I just ask my self if I'm feeling lucky today. Your only wrong 50% of the time.
NN if your lamp is still a little green after burn in (at least 10 hours) that means it is under driven. If you are OK with the color and brightness you can leave the power where it's at. The S51 is being driven kind of hard and I don't know how much more you want to get out of it. Is it fairly quite?
One last idea is if using any two ballast setup's, is the smaller one can be on a lamp dimmer and will let you have a "dial a power setting". This might be good for letting the lamp cool down or just to adjust for different room light.