Context: Our VA pilots and I were on an event flight into PHKO. There is an error with the ILS 17 procedure on the map which we did not catch that meant we were establishing on the localizer thousands of feet above the glideslope. We each announced going around in succession. I was the first. Tower instructed us to enter left downwind for 17… But left traffic turns you into a mountain (I didn’t realize and had to initiate an emergency climb), whereas right traffic takes you over the water.
Unfortunately, we did not have an Unable option, so we all had to climb well above standard TPA to follow the instruction. Will an Unable command be added? What would you recommend as the appropriate response to a traffic pattern entry instruction that creates a ground separation issue?