I think for $2200, this is your best possible build.
PCPartPicker part list
CPU: AMD - Ryzen 7 1700X 3.4GHz 8-Core Processor ($347.49 @ OutletPC)
The 8 cores / 16 threads of the Ryzen 7 1700x will be extremely useful as the industry moves towards parallel processing and optimizes for more and more cores. It should be able to breeze through heavy 4k editing workflows without any problem.
CPU Cooler: NZXT - Kraken X62 Rev 2 98.2 CFM Liquid CPU Cooler ($147.20 @ NCIX US)
Strong AIO cooler that looks sexy as hell and comes with a compatible AM4 bracket. This will keep things silent and cool.
Motherboard: MSI - X370 GAMING PRO CARBON ATX AM4 Motherboard ($152.98 @ Newegg)
I went with the X370 chipset here because again, we are future proofing. X370 supports SLI/Crossfire, so in the future if you want to upgrade your graphics without dishing out a ton of money for the next top of the line card, you could simply pop in another 1080 Ti. This motherboard also has plenty of VRMs to help achieve the highest possible overclock on the 1700x.
Memory: G.Skill - Trident Z 32GB (2 x 16GB) DDR4-3000 Memory ($256.99 @ Newegg)
The 32GB of RAM is slightly overkill, but we are future proofing here, are we not? For heavy 4k video editing, while having other programs open, you could fill up 16GB fairly easy (I'm the type of person who usually has many tabs and programs open at once, and I often come near 16GB usage). 32GB will assure that you will never be in a situation where you have too little memory. Plus, it looks way better when you fill all 4 DIMM slots!
Storage: Samsung - 960 EVO 250GB M.2-2280 Solid State Drive ($127.99 @ Amazon)
Fast M.2 SSD for a boot drive and important programs.
Storage: Seagate - Barracuda 3TB 3.5" 7200RPM Internal Hard Drive
3TB of storage should be enough to last you for quite some time.
Video Card: PNY - GeForce GTX 1080 Ti 11GB XLR8 Gaming OC Video Card ($698.99 @ SuperBiiz)
This 1080 Ti looks sexy as hell, has 11 GB of GDDR5X memory, so you never have to worry if some texture mod is going to use up all your VRAM. On top of that it is a true two-slot card, meaning its very thin so it's easy to install in a smaller case.
Case: Corsair - Crystal 460X RGB ATX Mid Tower Case ($129.99 @ B&H)
This case looks sexy as all hell, comes with RGB stock fans, and is mid-size so it doesn't have to sacrifice on airflow or a ton of building space to gain a little bit more portability.
Power Supply: EVGA - SuperNOVA G2 750W 80+ Gold Certified Fully-Modular ATX Power Supply ($99.89 @ OutletPC)
Highly rated 80+ Gold full-modular PSU. Need I say more?
Total: $2131.47