I'm liking your choices.
Don't go for high clocked RAM, I only mentioned it because I wasn't sure how all-out you were going with this. Get whatever's cheapest, or at least whatever has the best price-to-performance. Don't waste your money on the 3200.
As for the graphics card, I've never heard of problems with Gigabyte cards- often they're quoted as one of the best and most reliable manufacturers. EVGA, on the other hand, has had cards catch on fire, overheat, and other issues that cause an official recall. Nothing against either company from me- I just don't see why EVGA is superior to Gigabyte.
I just made a PCPartPicker list... you
CAN get the 1080Ti. It will require a cheaper case, slower memory (2666MHz instead of 3200), and general smarter spending on the rest of the parts.
You can decide whether you want a proprietary cooler or not: but the Wraith Spire cooler is fabulous from what I've read, and I've seen an article claiming it can hit a stable overclock on the 1700 at 4 GHz.
The board I picked is full ATX size, has 6 PCIe slots (two 3rd Gen 16x slots), and has two M.2 interfaces with one of which supporting 3rd Gen PCIe x4 speeds.
I picked a 250GB Intel 600p M.2 SSD to go with it for the boot drive, and a 2TB Seagate Barracuda for HDD storage. Obviously you can play around with the sizes, maybe 500GB M.2 + 1 TB HDD or just a 1TB M.2.
PCPartPicker part list:
https://pcpartpicker.com/list/cQdrf8
Price breakdown by merchant:
https://pcpartpicker.com/list/cQdrf8/by_merchant/
CPU: AMD RYZEN 7 1700 3.0GHz 8-Core Processor ($317.66 @ OutletPC)
Motherboard: ASRock AB350 Pro4 ATX AM4 Motherboard ($88.98 @ Newegg)
Memory: *Patriot Viper Elite 16GB (2 x 8GB) DDR4-2666 Memory ($97.99 @ Amazon)
Storage: Intel 600p Series 256GB M.2-2280 Solid State Drive ($108.98 @ Directron)
Storage: Seagate Barracuda 2TB 3.5" 7200RPM Internal Hard Drive ($66.26 @ NCIX US)
Video Card: Gigabyte GeForce GTX 1080 Ti 11GB Gaming OC 11G Video Card ($684.79 @ SuperBiiz)
Case: NZXT H440 (White/Black) ATX Mid Tower Case ($141.01 @ Amazon)
Power Supply: EVGA SuperNOVA G2 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($84.89 @ OutletPC)
Total: $1590.56
Prices include shipping, taxes, and discounts when available
*Lowest price parts chosen from parametric criteria
Generated by PCPartPicker 2017-04-23 20:05 EDT-0400
NOTE: The extra $90 on top is because the prices are not all accurate (says $140 for your $110 case), and you can probably cut corners in other ways.
I think this is a pretty dang nice rig, however. If I were you I'd get a $40 case and not worry about such aesthetics... but there's other solutions, such as eBay, reusing older parts, etc.