2000 CR-V Rough Start

[YotaFun]

Well, they were driving it today after it started fine in the morning and now its misfiring everywhere, so it sounds like the valves finally took a shit

[YotaFun]

Alright,
So here is the issue.
Random misfire cyl #3
Engine is overheating,
No coolant loss, no coolant being burnt.
No smoke what so ever out of the back.

Can a burnt valve overheat an engine?
And can it show no signs of being burnt?

[YotaFun]

Checked valve clearance again!
All good, 2 was a little tight so I adjusted it again.
Still randomly misfiring on cyl #3
Usually only at idle, I couldn't get it to mis under load...
Still no coolant loss
Oil still clean

I am straight out of options, I'm feeling this thing is getting a new motor.