Yes you can do it that way, remember that the grease cannot be drained out so if you intend to wade and water gets in past the worn seal the whole lot will need stripping to remove it, make sure your breather is clear to reduce suction when axle suddenly cools when plunged.
In my experience the gaiters can trap water inside after wading, so causing rapid rusting of the ball surface and tearing of the seal, maybe best to leave them off.
Apart from that the grease works a treat, I have had it in there for many years after mine started leaking, also use it in my Explorer steering box after I couldn't pull the drop arm to replace the seal.