Budget PC build for $600

Hey, I need some help putting a PC together.
My budget is around $1333, and I just need a setup that can actually run World of Warcraft.

Google says these are the recommended specs:

Intel ® Core ™ i5-3330, AMD ™ FX-6300, or better
NVIDIA ® GeForce ® GTX 750 ti, AMD ™ Radeon ™ R7 260 x or better

plus 4 GB of RAM

The only thing is, I definitely want 8GB of RAM, and I don't need a DVD burner. I honestly don't care about those.
If an SSD (64GB) fits the budget, great, but if not, we can scrap it.

Please help me out here.

Patriot Signature DDR4 RAM, 2400MHz, 8GB, CL15
Seagate BarraCuda 1TB, 64MB, 7200rpm HDWD110UZSVA
EVGA 400W Power Supply
Spire Spitzer 22 case, PSU not included.
ASUS Prime B250M, LGA 1151, B250 Chipset, DDR4, SATA 3, USB 3.0, DVI, mA
Maybe an Intel Core i3-6100 with a 3.50GHz clock speed on a Socket 1151? I guess that's what you're looking at.
Kingston 120GB A400 SATA 2.5" SSD (7mm), 40TB TBW, UPC: 740617261196
Check out this MSI GeForce GTX 1050 Ti OC. It’s got 4GB of GDDR5 and a 128-bit bus, running at 1341MHz/7008MHz via PCI-E 3.0 x16. Comes with DP and HDMI ports.

All things considered: $1341 I can't really say for sure, but maybe?