ChrisR AHH, that's inconvenient. Gen1 inverter?
Maybe just tighten up the schedule to leave a 5 rather than 10 minute gap between instructions. I wouldn't go less than 5, or you risk overlapping instructions being sent. Possibly even join some of the earlier ones together and drop the starting SoC a little.
Sounds like your setup is similar to mine, lots of battery and not enough inverter.