As I said, the load you have right now will drop any moose at any reasonable range, provided you make a decent shot. A faster load will only give you a bit more range for the same level of performance. Unless you seriously plan to shoot beyond 300 yards, your load will work just fine. In essence, what you have is classic .308 level performance, and the .308 is an excellent moose cartridge inside 300 yards, especially with a solid copper bullet.
I only gave you my load as an example. It works well for me, and you might want to consider it in the future, but what you have right now is perfectly adequate.