First of all, welcome to the .Org! It's good to have you Jaabberwocky!
Oh, and a RotS player - you are an endangered species already!

Now, onto your conundrum: if you are facing an actual full stack of bow warrior monks, I would first write it's a crime not to recruit a few scores of riders.
In a show-down between foot samurai and bow warrior monks however, even if their archery skill would be somewhat superior, you want to go for close-combat from the get-go. Samurai may or may not be marginally better shots than bow warrior monks, yet they are devastatingly better with a katana.