You don't need an aftermarket cooler. To keep costs down for the time being, work with the stock cooler. BF deals might pop up for a better cooler than the 212.
I'd ditch the WD SSD in favor of something from AData or Samsung's 970 Evo Plus:
https://uk.pcpartpicker.com/product...-m2-2280-solid-state-drive-asx8200pnp-256gt-c
or
https://uk.pcpartpicker.com/product...-250-gb-m2-2280-solid-state-drive-mz-v7s250bw
PCPartPicker Part List:
https://uk.pcpartpicker.com/list/XCsPV7
CPU: AMD Ryzen 5 3600 3.6 GHz 6-Core Processor (£174.78 @ Aria PC)
Motherboard: MSI B450 TOMAHAWK MAX ATX AM4 Motherboard (£83.14 @ Amazon UK)
Memory: Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3200 Memory (£65.58 @ Aria PC)
Storage: ADATA XPG SX8200 Pro 256 GB M.2-2280 NVME Solid State Drive (£40.94 @ CCL Computers)
Storage: Seagate Barracuda Compute 2 TB 3.5" 7200RPM Internal Hard Drive (£56.95 @ Amazon UK)
Case: NZXT H500i ATX Mid Tower Case (£79.98 @ Amazon UK)
Power Supply: Corsair TXM Gold 650 W 80+ Gold Certified Semi-modular ATX Power Supply (£69.98 @ Amazon UK)
Total: £571.35
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-11-20 11:36 GMT+0000
I'd also try and see if I could make a smaller form factor system. What is your absolute budget?
Edit:
I went ahead and tweaked the build again. Check it out:
PCPartPicker Part List:
https://uk.pcpartpicker.com/list/XVqVcq
CPU: AMD Ryzen 5 3600 3.6 GHz 6-Core Processor (£174.78 @ Aria PC)
Motherboard: ASRock B450M Pro4-F Micro ATX AM4 Motherboard (£64.13 @ CCL Computers)
Memory: Team T-FORCE VULCAN Z 16 GB (2 x 8 GB) DDR4-3200 Memory (£63.97 @ Laptops Direct)
Storage: ADATA SU800 256 GB M.2-2280 Solid State Drive (£36.48 @ Ebuyer)
Storage: ADATA XPG SX8200 Pro 256 GB M.2-2280 NVME Solid State Drive (£40.94 @ CCL Computers)
Storage: Seagate Barracuda Compute 2 TB 3.5" 7200RPM Internal Hard Drive (£51.24 @ Amazon UK)
Case: Cooler Master MasterBox NR400 (w/o ODD) MicroATX Mid Tower Case (£59.99 @ Amazon UK)
Power Supply: SeaSonic FOCUS Plus Platinum 550 W 80+ Platinum Certified Fully Modular ATX Power Supply (£92.36 @ CCL Computers)
Total: £583.89
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2019-11-20 11:53 GMT+0000