LM3886's Output with Class-G Output topology ??

It seems like this is the wrong chip to use for Class H/G (whatever the difference is.) The chip is made for Class AB designs and is most efficient in that config. You cannot actually make it a class G (H?) amp because this is an integrated amplifier chip.

Correct. 3886 cannot be used, but TDA7294 can. Because the output stage is NOT directly connected internally on the ST part and can be separately powered by the class G switching circuit. If TI were to *make* a 3886 with the collectors of the output stage separately pinned out, you could do something like this. As fas as I know, no such animal exists yet.