As you have noticed Bovec is small town in the middle of the alps, so no, here you won't find any big aiport. We have a small one though, but its grass air strip makes it perfect only for light weight airplane, gliders and paragliders.
So to come and visit us, you need to use any of many airports nearby. Within few hours drive you really have a choice, so not going there due to lack of airpot conections is not an excuse.
Best choice of airports and airlines closest to Bovec: