Hard to tell but I think you should just bring in some of the filter media and gravel.........the other stuff is not really necessary. The water won't speed anything up. You'll definitely cut the cycle time by bringing in media from a cycled filter.
I'd do just that, and anything else that would help things along such as raising the tank's temp and throwing in an airstone. After that it narrows down to how fast your tank can bring down the
ammonia and nitrites. I don't believe in 1/2 cycling and crutching the tank along with constant water changes. It's more laborous in the long run and all you're really doing is extending the amount of time it will actually take for the filter to be cycled to your tank's load because it is never being exposed to the load with all the water changes going on.
Cycling is one of those things that needs to be done right once. Any other way and it'll be a lesson learned. You'll definitely have a jump start with the media.
I think throwing in a blast of Ammonia into the 4 parts range for a few days before actually adding the fish would get your more bacteria throughout the tank.