EVGATech_DaveB
I cooled a TON of stuff in my HAF932.  I have done 2 different HAF builds on water, one was a dual proc board and a single card, the other was 3 cards cpu, mobo and VRM block.
 
You could go with 3 hybrids and the H110 and it would all fit, the 1 hybrid in the spot on the back of the case I think will fit, the other 2 will fit fine on the side panel, make the side panels tricky to remove but doable.
 
You can go full custom though, you got room for a 360 on top, you need to take it apart to mount it, the plastic front top piece needs to come off, but it can be reattached afterwards. 
 
Question, which is more important, silence of best possible temps, or a median between the 2, as that will tell  me which rad to recommend.
 
For Rads, I go hardware labs unless I am in a VERY tight space, a 360 will bolt right in and work very well.  For CPU blocks, EK is solid, as is Swiftech or XSPC, XSPC is usually the best bang for the buck, some might outperform them by a couple degrees, but they are always cheapest, and they look pretty slick too.  Heard the Heatkiller has something solid on the horizon, but I haven't seen a review for one of theirs in a while.  For GPU blocks, I generally use EK, perform good, look good.  Pump, I use D5 or MCP655 (basically the same pump) and they have some really nice attached res's now too, they attach directly, look good, tubing I use 1/2x3/4 lots of capacity, not easy to kink, and go with Tygon or Primochill, just use distilled water and maybe a silvercoil and you are good to go. 
Fillport and a drain are advised, and you can use the hole in the top of the case to mount a delrin fillport at the top and tube it into the res.  The drain can be a plug, a QD or a valve, just have it at the lowest point in the loop.
You will find that fittings are the silent killer of your wallet, none of them are expensive but they add up, a LOT.    Som plan carefully and you should be good.  Also, allow about 2 extra feet of tubing more than your measurements, especially if you are new to water, you will have some bad cuts or some mis-measurements, all part of the learning curve, this way it gives you the extra buffer so you don't end up waiting for more tubing after a bad cut, just make another cut.  Also, cut your longest pieces first, so if you have a bad cut,  you may be able to reuse it for a shorter piece.
 
Hope this helps, feel free to ask anything you want here, there are a lot of us who will be quick to help.

EVGATech_DaveB
Yes, that piece, it allows you to get to mounting holes for the rad under it, it can be replaced after the rad is installed, as well as the fill port.  The piece can be on or off when installing the fillport, but if it is off, it makes it easier.
 
I would go with like a Nemesis360 and either Noctua's or Noiseblockers, I would say around 1500 RPM Noiseblockers if you went with those over the Noctua's, but either will do well.  You can go with something with more airflow and run a fan controller and basically dial them to just where you want them, which is what I do, get fans that are a bit loud and huge airflow then use a fan controller to run them at a medium speed.

EVGATech_DaveB
The Nemesis would be a replacement for the AIO you currently use, you would need a pump and whatnot for it.  The Nemesis would be used when making a custom loop.

EVGATech_DaveB
A 240 as a secondary would be great, put it in the front, you might have to remove the HDD cage unless you got really tricky with tubing, and that would give you the extra cooling needed to bring the temps down to stone cold, and keep the fans low enough to be nice and quiet.

EVGATech_DaveB
Alright, sounds good.  As someone in the car industry once told me "I can make ANYTHING fit, I've got a plasma cutter" and in some level that remains true here, if you are willing to mod it enough, we can make anything fit.
 
But let's see some pics and go from there.

EVGATech_DaveB
Without getting really creative with PCIE ribbons so you can move the card off of the board, I don't see how 3 way can work with this motherboard.  The case itself will accommodate it, but the motherboard has an odd PCIE footprint.
 
To make sure we are on the same page, this is the board you have, right?  https://www.technopat.net/wp-content/uploads/2014/12/asus-x99-a-anakart-inceleme-technopat-2.jpg
 

EVGATech_DaveB
Looks like it should fit and work with triple SLI.

EVGATech_DaveB
On my personal system?  Main rig is a X79 Dark, previously ran an X58 FTW3 in Triple SLI as well, all in that HAF case.
Granted I am in a MM not for my main, and my HAF is in the closet atm and will be getting some older parts as a backup system.