I faced a simialr problem with my eldest lad who is 6'3" but as a beginner was drawing under 30lbs. The issues I gues you have is because they are arrows for lessons, you don't want to spend a fortune, but at the same time, due to potential low draw weight the spine needs to be fairly weak which adds up to short arrows!
If it is for a begginner chose arrows that are too long even if that means shafts that are too stiff, you don't want the archer to overdraw.
In terms of arrow choice you could look at easton Eclipses full length and spines can be found at the following link:
Archery Shop & Archery Products from Alternative Sporting Services
If you dont mind shooting all carbons (I could understand why with beginners) you will get carbon impacts up to 33" long from Merlin and they are on offer at the moment and a great arrow. Try this link:
Merlin Archery; Carbon Impact Ultra Fast - YELLOW - Shaft Only
If I can think of any other options I will let you know.