Goodness me, why are you all making it so difficult?
I use Aerads which have the same funny 7-hole spacing. I needed another (much thinner) binder to have in the front of the aircraft with me. (The heavy volumes with all the other plates live within reach in the rear of the aircraft in case of diversion).
My solution:
Walk into stationary shop. Buy whatever 2-hole A5 binder takes my fancy. Use my £1 two-hole punch to punch a second hole at the correct spacing in the plates. In other words, line up the punch with hole 2 (counting from either the top or bottom to taste) and operate the punch. Hey-presto... a new hole at the correct spacing to allow fitting to the (cheap) A5 size two-hole ring binder.
Obviously we were even more impoverished in our student days.
Good luck,
QNH 1013