On the Intel side, I believe Quick Sync Video v6 is needed, included with Kaby Lake, Coffee Lake and Whiskey Lake CPUs.
Of those three microarchitectures, I believe the cheapest CPU is the £75 Intel Core i3-7100 (Kaby Lake). Could such a £75 CPU handle a 4K HEVC Main 10 HDR transcode, even though it has QSV v6?
I believe without QSV v6 support, you’d need a CPU with a PassMark CPU score of around 17,000 to brute encode it.