There is a lot of great advice here from guys that have obviously competeted in various sports or athletic events and it is all good stuff to listen to. I recently retired from the sport of Professional rodeo (PRCA) where I competed for 18 years and had a fortuitous career. I was fortunate to have won a gold medal in the 02' Olympics in a special US VS Canada rodeo event and have won many of the sports most prestigious events including the NFR (National Finals Rodeo) and the reserve Championship of the World. I give motavational speeches to highschool and college kids wanting to succeed in rodeo and I will share with you the basis of what I tell them in this situation.
With years of competetion and having to function at the best level under the preassure of national TV and simply the preassure of wanting to be the best in the world and win aginst the best in the world....(which I can honestly say didnt always happen...lol) I can say that the statement about Carlos Hathcock's saying is true. When you focus on the goal at hand you should never acknowledge distractions and once in the "zone" and your subconscious takes over you wont.
Dont see the fact that you are being filmed as a possible opportunity to mess up on TV or in front of people......Ebrace the added level of preassure and take the film crew and see at it as an opportunity to succeed and do something great in front of people and have it captured for more to see, then believe to your core! Thats the most important part. You put in the practice and if it is correct and it serves its purpose to build your confidience at being able to obtain your goal, in this case reading the conditions, formulating the soloution, making the first shot land where you want, then you have the tools and this practice should solidify confidence into your core, nothing changes that. Take what you have proved to yorself and use it, it still workd regardless of the preassure to make it work.
This all sounds a little cheesey and overkill because it is just a shot at an animal but this is something important to you and that makes it as important as anyting else. Not to mention no one wants to wound an animal so....it is important.
And the dry firing if possible cant hurt either!
Best luck man!