I run a 33 on the front and an 11-36 on the back, live in Peak, am a pretty average rider and find that’ll get me up everything though very occasionally, mostly descending on the road to be honest, I’d like a slightly higher gear.
I used to run 32:16 singlespeed on the same trails, so I’m not averse to pushing biggish gears, but I can’t see anything other than misery with a 36-tooth chainring round here, you could ride it, sure, but why bother with gears at all in that case.
Whatever you do, get an unramped chainring. I’m using a Surly stainless one and it’s ace and should last a long time and a Superstar top-guide thing and it works fine.