Saline solution used for contact lens wearers is a good eye rinse, make sure in is not the disinfecting/storage stuff. I good pair of tweezers can also come in handy and the horse wrap that you have is also good because it does not need tape. I also like a good emergency care book that tells you some simple things you can do until you get to the vet. If an emergency is going to happen it will most likley happen when you are away or if at home on a Sunday. It also might be a good idea to find out a vet close to where you will be hunting or an E.R.for dogs.
Good luck and enjoy your time with your new best friend.