One option for sizing solar backfeed as a line side connection in a panel or subpanel is the "120% rule".
You find out the amp rating of the panel bus bars (which in your case will be at least 200A, but may be 225A if you are lucky. You need to find out for sure for your panel. )
You then multiply that by 120%. For you, that is a minimum of 240A.
The sum of the main breaker size and the nominal amperage of the solar installation must not exceed that number. Unless you have a 225A bus or reduce the size of the main breaker, that limits you to 40A. If you have a 200A bus, even a 175A main will not allow you to put in 70A of solar.
The motivation behind that rule is that by putting the main breaker and the solar backfeed breaker at opposite ends of the ;panel bus you can avoid overloading the bus if you have more than 200A of connected loads. The reason it is a 120% rule rather than a 200% rule is that the Code makers wanted to be totally conservative with a configuration that was not part of the panel testing.