The difference between charging at 11 kW and 9.6 kW (NEMA 14-50 connector) is maybe one hour if you actually discharged the battery to zero. That's ... basically irrelevant, IMO. I wouldn't worry too much about optimizing for the maximum possible power draw.
Since we're a dual-EV household, I don't feel a particular need for internet connectivity from my home charger, and we don't want to futz around with moving the cable back-and-forth, we got an HCS-D50P from Clipper Creek. It'll grant each car 20A when both are plugged in, or one car up to 40A if only one is charging. If one car finishes before the other, then the second gets the full ampacity. Both cars charge up completely overnight. Both cars warm themselves up in the morning. We've got more than enough margin to top off both cars using off-peak cheap electricity. It rocks.