There are at multiple ways to handle this. One is to use the approach that sheep was talking about: modify @INC to what you want, delete the modules in question from %INC, and then require them. This will reload them.

Alternatively, you can use Apache::PerlVINC which does it all for you so you don't need to change your code.

Neither of these will be as fast as not reloading anything, so you should probably think about a better way to do your customization in the long term, but they will get things working for now.