Advice on climbing in Tuolumne

Hey! My friend and I are hoping to squeeze in some alpine climbing in Tuolumne this weekend. In the meadows, there's a low of 28 and a high around 60 both days. We were hoping to do Tenaya and Cathedral. The climbing itself should be straightforward for us. (I've done cathedral before.) Does anyone have advice on how miserable it will be in these conditions? Also, where could we camp since the camp site is closed?
Thanks!

Cathedral is in the sun and Tenaya will be in the shade. Plan accordingly.

There are two or three FS campgrounds along Lee Vining Creek, 20 minutes east of the Tioga entrance station. They're at a lower elevation, so it'll be warmer than camping in TM.

No overnight parking/camping is allowed between the gates as of Oct 15. 

I have climbed Cathedral in late October before in about those conditions, it wasn't bad at all with a light jacket. Probably want to bring a wind/rain layer. In the shade will be cold, a friend and I did West Crack in the morning once after a night in the 20s and I could not feel my fingers most of the climb and wore a fat puffy jacket.

I did the Triple last year with almost identical conditions and it was perfect. If you are moving quick in the alpine, it doesn't get much better than that for weather.

It snowed last night. Should be perfect!