12V system @ 250A produces 3000W or 25A @ 120VAC, 17.5A at 240VAC (uncorrected)
4 separate packs attached to a DC-Bus creating a Battery Bank of 4 packs, will allow the 4 packs to share both the Charge & discharge evenly.
All BMS' within the Battery Bank should be identically configured so they march in perfect step together.
We suggest not to exceed 250A draw capacity and for good reasons and I won't get into a well-beaten topic. (excluding surge capacity)
You have 280AH - 280A output capable batteries that can fill that requirement. Every single pack should be able to act as "The Last Man Standing" so that none will ever get over driven even if all other packs in the bank cutoff for any reason. IT HAPPENS !
Now with 4 packs and 250A capable BMS, that can deliver a MAX of 1000A which is more than enough for any surge...
12V@250A=3,000W and with a LOW Frequency Inverter that can goto 9,000W (750A), High Frequency can hit 6,000W or 375A.
No to be mean or nasty or anything BUT this is a decision that could cost you serious coin if having to upgrade and worse if cells get damaged due to poor config and NOT preplanning for "Worst Case Scenarios" which sadly DO HAPPEN ! Be Smart and consider this and weigh the choices carefully. These are "System Foundation Essentials" to be aware of. Like a house, the Foundation has to support everything that is loaded on top of it which includes all the crap that people stuff into buildings (which often weigh more all tallied up than the actual building) pending on construction type.
Hope it helps, Good Luck
Steve