have you seen the below...worth taking a look as lists all features each board has. good temps on the gigabyte boards as you say.I was looking at b650e-e and aorus pro/elite ax. Looks like gigabyte has better vrm, but priced a bit higher.
I went with the b650e-e as I wanted the led error debug code display on the mobo..next level up was the msi x670e carbon, but that was another £150, and couldn't really see point. I had the b550e-e on previous build and never had a problem, so went with the same. Luckily the below told me I hadn't got a load of garbage, which is nice. Sure the gigabyte will be good too...didn't seem to be that many bad ones , except the prime boards where their temps were just on a different level. The HU vid didn't go that much into testing, unlike the b550 series he did and came out way to late(for me anyway), but nice to see...from there I'd choose the board you like, check some other reviews and if price is right, go for it. £350 for b650 today quite steep though, you're gettig into X670E board territory there. I'll put HU overiew for those below also..again, check review elsewhere also that go into more detail