If you don't want to eat the premium, don't feed the grid. That is, consume your electricity before it ever hits the meter(s). Presumably the real issue is that typical consumer systems aren't designed to function the way you'd want to avoid the TVA accounting rules.
You are free to buy batteries to do your own shifting. Also remember that wholesale costs typically just account for power generation, while retail costs also account for grid maintenance. An owner with solar is benefiting from grid maintenance, so it makes sense that they contribute.
Now from a societal perspective you may want to subsidize solar. But it certainly isn't "unfair" to buy power at wholesale and sell it at retail.
Edit: I got the terminology wrong. I agree that expecting net metering (“free” time-shifting) is not reasonable. And it seems that in addition to the “sell all, buy all” solution it is also possible to sell (or buy) only what remains after (or is required for) local consumption. https://www.tva.gov/Energy/Valley-Renewable-Energy/Dispersed...
What others are saying above is that you could generate 4 kWh during the day and consume it on premises, i.e. with air-conditioning or other day time appliance use, and still have zero consumption from the grid. This is also the point of the powerwall and any other on-premises energy storage.
In certain parts of USA demand is especially high when the sun is at it's peak and most places on earth see low demand in the middle of the night.
Presumably this is a hassle because most equipment is designed for net metering where the system is setup to feed all generated capacity to the grid and consume all energy directly from the grid. So without net-metered billing, to avoid paying the retail premium you'd probably need a very expensive system that eliminates the cost effectiveness.
In fairness, AFAIU most utilities despise net metering. From their perspective they're the ones getting screwed, and the TVA billing system more fairly compensates them for infrastructure costs.