A monks unarmed strike is defined as
At 1st level, a monk gains Improved Unarmed Strike as a bonus feat. A monk's attacks may be with fist, elbows, knees, and feet. This means that a monk may make unarmed strikes with his hands full. There is no such thing as an off-hand attack for a monk striking unarmed. A monk may thus apply his full Strength bonus on damage rolls for all his unarmed strikes.
The zen archer does not change or remove a monks unarmed strike.
Now a monk makes a flurry of blows using unarmed strikes while the zen archer uses a bow. But Im not asking or talking about the flurry, Im talking about the full attack action which is based off the class BAB of 3/4 progression. Once you get high enough it allows you to make multiple attacks. Am I allowed to change between making ranged attacks with my bow and making melee attacks with my fist (or Combat Maneuver) using the full attack using the correct modifiers for each?
It mostly comes down to making a single Combat Maneuver with the rest ranged attacks, but I need to find out if this is allowed.
I'm pretty sure it is possible, but another player has expressed doubt.