Hello Zappacat,
Hey alot of Q's there!
I think you need to get some ideas nailed down first and kinda stick to one thing at a time,, kool?
Re the LM 4780 chip Q.
You can simply look up the specs for that and it will be obvious if it is stereo or not.
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Two of those proj 101 Amps will make your ears bleed my friend and you will need at least two quad boxes to make use of all that power. Anyway the cost of the PSU at 100VAC-CTap tranny will scare you! oh and YOU have to carry it also.
I only mentioned it because even at 40/0/40 VDC it will still have ample power.
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If you want balanced outputs to send to a desk then I don't get it.
You wish to DI a 400watt Amp to a PA desk,,, like what For

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If you don't know *most* SState PwrAmps can handle 4 OHMS minimum load.
Less than that and you are pushing your luck.

Read project 101 more slowly and absorb it,,,the Answer for that is on that page anyway.
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Personally I never got the stereo trip as a good guitar sound with a little time effect and good EQ will sound far more convincing than any stereo pod.
I can do more tricks with my simple gear than most of those cab sims.
Sadly these days the player is judged more by how up-to-date his pedal board is than his ability to play good music.
just my thoughts.
If I'm getting this right you really need two things,,,
1/ a stereo preamp (with bal outs).
2/ a Stereo poweramp.
BTW there is some bal circuit ideas on ESP site
Cheers, Phil.