Just take a gallon of distilled water, read the label and add the correct amount of Water Wetter to the gallon. You will not use the entire gallon obviously so the rest of the pre-mix you can bring to the track as extra...you may even be able to help a fellow trackday rider. As for the air in the cooling system, I just fill to almost the top, hit the starter a couple times just to get the motor to turn over and circulate the new coolant. Add a little each time. I then will lean the bike side to side slowly, add a little, and hit the starter a couple more times. Never had a problem doing this method.
As for Engine Ice, PLEASE DO NOT ride your bike on the track with that shit. It is worse than regular anti-freeze if spilled. It is banned by club level racing organizations and all pro organizations for a reason. It it glycol based and it sucks. I have personally seen one trackday noob leak Engine Ice in the chicane at a track and the next 4 bikes crashed into a big pile. Track staff tried oil dry and tractors with scrubbers to get that shit off the track. After about an hour delay we got back on the track only to have the first two bikes crash in the same spot. All because some asshat didn't follow the rules of the track and drain the Engine Ice and use either distilled water or distilled water with Redline (aka: Water Wetter)