There are several solutions I can think of, if this is phobia for you:
1) Do not frequent that part of the world, if it is that bothersome, if you work for a company, I Am sure your superiors will understand the reluctance;
2) Find an alternative airport to arrive/depart from where that might not be such an issue for you;
3) Create a force field around your personal space so no one can get close;
4) Find out if there is a VIP area for check in so you would not have to deal with the masses; or
5) Find out if you can video conference to avoid such un-pleasantries...
Have safe travels always!