Is your 144Hz monitor included in the budget? Straight off the bat, that eats a big chunk of your budget, as the cheapest I could find was $189.
With a S340 Elite case, that is another $80. I tried my best to fit it in, but I went over by $48 while following an Intel line. There is no SSD.
PCPartPicker part list:
https://pcpartpicker.com/list/pNrnkT
Price breakdown by merchant: https://pcpartpicker.com/list/pNrnkT/by_merchant/
CPU: Intel - Core i5-8400 2.8GHz 6-Core Processor ($209.89 @ B&H)
Motherboard: MSI - Z370 GAMING PLUS ATX LGA1151 Motherboard ($111.98 @ Newegg)
Memory: Crucial - 8GB (2 x 4GB) DDR4-2400 Memory ($87.99 @ SuperBiiz)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($46.89 @ OutletPC)
Video Card: Zotac - GeForce GTX 1060 6GB 6GB Mini Video Card ($267.89 @ B&H)
Case: NZXT - S340 Elite (White) ATX Mid Tower Case ($79.99 @ SuperBiiz)
Power Supply: SeaSonic - FOCUS Plus Gold 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($54.99 @ Newegg)
Monitor: Acer - GN246HL 24.0" 1920x1080 144Hz Monitor ($189.00 @ B&H)
Total: $1048.62
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-01-01 04:08 EST-0500
If you go with the Ryzen line, you lose some FPS in PUBG and stuff, but you come $11 under budget AND get an SSD:
PCPartPicker part list:
https://pcpartpicker.com/list/Lnbxhq
Price breakdown by merchant: https://pcpartpicker.com/list/Lnbxhq/by_merchant/
CPU: AMD - Ryzen 5 1400 3.2GHz Quad-Core Processor ($146.68 @ OutletPC)
Motherboard: MSI - B350 PC MATE ATX AM4 Motherboard ($65.98 @ Newegg)
Memory: Crucial - 8GB (2 x 4GB) DDR4-2400 Memory ($87.99 @ SuperBiiz)
Storage: Kingston - A400 120GB 2.5" Solid State Drive ($49.99 @ Amazon)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($46.89 @ OutletPC)
Video Card: Zotac - GeForce GTX 1060 6GB 6GB Mini Video Card ($267.89 @ B&H)
Case: NZXT - S340 Elite (White) ATX Mid Tower Case ($79.99 @ SuperBiiz)
Power Supply: SeaSonic - FOCUS Plus Gold 650W 80+ Gold Certified Fully-Modular ATX Power Supply ($54.99 @ Newegg)
Monitor: Acer - GN246HL 24.0" 1920x1080 144Hz Monitor ($189.00 @ B&H)
Total: $989.40
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-01-01 04:10 EST-0500
There are no OS in both of these builds.
Is it possible to increase the budget slightly to give more breathing room? Or attempt to exclude the 144Hz monitor out of the budget?