Climbing temps/season at The Cathedral & Wailing Wall, Utah

Is it too hot in June to climb at the Cathedral/Wailing Wall outside of Saint George, Utah?  I know surrounding areas can be really hot, but the cliff faces north (shade all day) and is at around 5,000 ft elevation.  I was there in April and it was actually cold.  What sort of temperatures would be expected at the cliff (in the shade) in June?  Thanks in advance!