OK, just to be clear.
You want to use a 16S Case, but configure the cells into a 2p8s for a 24V/560AH battery pack, with a Max output of 300A.
300A Continuous or just for surge handling ?
Yes, you can use a 16S Case and setup the cells in 2P8S but the Cross BusBar will have to be sorted.
You can use 1 BMS to manage that, you just wire the sense leads as per a regular 8S keeping in mind that each lead will be looking at 2 cells.
Generally, after 200A Continuous, a Relay/Contactor based BMS is used to handle that amperage, as FETS don;t do so well.
Current JKBMS for example handle up to 200A Continous but can take up to 300A surge.
A NOTE ! If you build 2x 24V/280AH with it's own BMS, you divide both Discharge & Charge and get fault tolerance should one pack shutdown the 2nd keeps going. In general, it's not recommended to set LSP cells in parallel unless they are truly Matched & Batched because things do happen.
Hope it helps, Good Luck