I agree that the actual system for checking skills is tedious. Checking players is a hard part of the job, particularly in big countries.
Making all skills visible for NT coach could be very good but I understand that it could be a problem. I could for example see all the skills of my league opponents even if the players are far from NT.
I really don't know if a reasonable change actually exists. Seing all skills before enth reset will be as seing them all season long, actually. And NT scout is available for everybody, not a good idea imo.