Your system you have in mind seems complicated. Have you actually pencilled the money you will save vs cost and complexity? I would just adjust my habits to use power when it is cheap. I also live off grid so that is normal for me.
I am curious how the numbers work on this? I am not saying your wrong, just asking for more details on the money end.
The vast, vast majority of my energy bills are heating, cooling, and hot water. Otherwise it's just some LED lights, a nearly new fridge, and a laptop. Average tank style electric water heater uses $500-800 per year. In North Carolina we run the air conditioning 6-8 months per year. A normal heat pump just blows all that hot air outside, instead this will give me a nearly unlimited supply of hot water completely free. At the same time it will make the air conditioner cheaper to run, because it won't be fighting as much hot air in the summer during the middle of a hot day. And, while the system is significantly more efficient, it also allows me to use electricity that cost half as much. You can't just "adjust your habits" to stop running the A/C during the hottest part of the day with the most expensive electricity.
In the winter I will have waste cold air to blow outside, but using a heat pump will still make hot water significantly cheaper than a regular electric element. It will also be easy to integrate free sources of hot water such as solar, wood, and waste generator heat. Even garbage - I can probably nearly heat the house with Amazon boxes!
If it only saved me $50/month it would pay for itself quite quickly. And now I have a secondary backup system with my existing standard heat pump and water heater, which will stay in place, just shut off. You don't go without A/C in NC - even for a day! Plus, if I add enough PV panels I can net meter back to zero every month, the payback period would be a bit longer with those, but even if it's 10 years, I consider that a good deal.
Also, as joestue mentioned, compressor systems can be tweaked to be much more efficient than the standard EPA approved mass produced garbage they sell as appliances. I will likely be using propane as the refrigerant, (AKA R209) which is definitely more efficient running at lower pressures than modern refrigerants - and not that bad for the environment either. Since the entire compressor system will be outside, I don't ever have to worry about propane leaking in the house.
And, on top of all that - it adds a good chunk of equity to my house! I would pump my well water at night if I could too, but I can't imagine the fit the HOA would throw if I tried to build a water tower.
The reason electric companies offer time of use billing is to give people an incentive to do things like this and reduce their overall load during the hot part of the day.
Forgot to mention - I will be adding on a garage with a large master suite above it in the near future. Given this I'll have to add capacity to the heating/cooling system anyway.