Off-grid inverter capacity vs. NEC 220 calculations – GreenBuildingAdvisor

I am presently building a completely off-grid tiny house and utility shed and I’m trying to figure out how best to handle the situation with load calculations.  

We have are already putting cooking, hot water, and laundry dryer on propane to remove those very large loads.  There will be a standard fridge with an inverter compressor, two small efficient minisplits (9k and 12k BTU), a dishwasher, a small jetted tub with inline heater, a small ERV, ceiling fan, a standard clothes washer, and a microwave with vent fan.  All lighting will be LED.

We’re using a Sol-Ark 12k EMP which for our practical daily living, is more than adequate to satisfy our load and we know how to “watt watch” and manage load, we’re not off-grid newbies.  But the problem is, the NEC 220 load calculations come up with a load figure higher than the 12k’s continuous output because it assumes everything will be running all at once, which we will obviously never do.  I want to be able to show our AHJ that we know what we’re doing and we can easily manage our consumption. 

Has anyone had any luck submitting a use plan to their AHJ describing that we won’t be running the tub, dishwasher, both minisplits, washing machine, and microwave oven all at once?  Advice?

BTW, I am aware of NEC 710.15 allowances for stand-alone systems, just curious what other people’s experiences with their AHJ has been like.