James,
Most POAs in both sets of rules are conditional. You are just more familiar with the FOGAM ones.
And as you say, being less familiar with the period, the reasons for the conditions may be less obvious to you in FOGR. I submit that that is a fault neither with the rules, nor with you, but with your expectations that everything should work much the same way in FOGR as FOGAM.
Difficulty coping with the FOGR POAs has not been a common complaint on this board.
And if indeed it is all too much trouble for you, I am sure that there are other things you could be doing. FOGR isn't compulsory.
With regard to bow armies, the problem with most of them is that they lack mounted troops capable of standing up to the same types of Western mounted troops that the archers are vulnerable to in the open. There is a reason that your opponent was lurking in the terrain!
John Munro got round the issue by having a large contingent of Tuareg camelry to neutralise the enemy mounted. Another possibility that might be worth exploring is a Hindu Indian army consisting mostly of archers and elephants.
To counter enemy bowmen you need to use a tight formation and either have high quality close combat troops or maximise your own firepower. I didn't get to play John at Britcon, but I suspect that my Anglo-Dutch army had more chance than most of giving him a hard time. On a solid frontage it could match him dice for dice for shooting, and would be getting +2 on death rolls, which he wouldn't. I know that I am constantly being ribbed for my corner deployments (not the same thing at all as corner sitting) but that would be the way to defeat the bow army. (And, incidentally, cavalry armies, but not Swiss!)