Scenario: How Many Cards am I Drawing?

If I have [[Bello, Bard of the Brambles]] out and [[Roaming Throne]] (Declaring Elemental) and [[Alhammarret's Archive]].

In combat, I swing and connect at an opponent with Roaming Throne and Archive - how many cards am I drawing off of each hit? My assumption is 4 due to Throne's double triggers and Archive triggering off of each additional draw.