Ok, just went through a 7 minuteish cycle of charging.
It started to throttle at 60.5 and got to 0 output at 61.5
If I'm not mistaken, to throttle at 60.5 (but still deliver power), at least some of your SB are set to Rule-21.
How many SB, and what models?
Zero output is too low for "Island" setting, that would give 50%
61.5 Hz would cause Rule-21 inverter to drop off (maybe instantly, not sure.)
By the time SI raised frequency to 61 Hz, SB with Rule-21 is supposed to be down to zero, but maybe delayed response plus SI overshooting since it didn't see power drop fast enough.
Short term, try adding an AC load like a space heater. Not sure if that will affect response of control loop. What it should do is allow frequency to settle below 61 Hz, keeping SB Rule-21 on line.
I think it will work better with "Island Mode 60" or whatever the offgrid setting is called.
What I don't know about is how your lithium cells respond in voltage to charge current, or how BMS behaves.
I would like BMS to allow brief excursions above target voltage without disconnecting, that should allow SI time to frequency shift and SB time to respond, so charge current is adjusted and battery voltage oscillates then stabilizes at target value.
Look into whether BMS has "time" settings as well as "voltage", for over-voltage shutdown.
Set SB to Island mode.
Consider changing curtailment frequencies of Island mode. Default is 100% at 61 Hz, 0% at 62 Hz. Try 100% at 60 Hz, 0% at 61 Hz or 60.5 Hz (but keeping 64 Hz max without disconnect). Eliminating the dead band should reduce delay before curtailment.
Consider disabling AFRA, so inverter doesn't go below 60 Hz to 59 Hz, again eliminating dead band.