Good question, I think he'll certainly try a few as/if the opportunities present themselves, but he certainly won't chase it; the Davis/Rumble fight proved the futility of that.
If he does succeed in getting Rumble down it'll be more like the Jones fight than the Manuwa fight (Rumble will be back up quick)
I think the more interesting question is if Rumble will get Gus down to work GnP. We've seen AJ wrestle against strikers before; albeit a long time ago in a different weight class, but I do expect them both to mix it up