New cage, can I add plexiglass to the back?

[Jcatz]

Hi, I'm getting my new cage for a baby gahla. Where I'm putting the cage is right behind the sofa. I want him to be where we are most of the time and so he can watch tv when he's not with me or somewhere with me. So I get hot very easily and wanted to know if I get a custom piece of plexiglass made to put on the back of the cage if that is safe? Just for tones when I really need the fan. It's not a ceiling fan it's a pedestal fan across the room. Any ideas on what I can do or use to make sure there is no draft at all? Also concerned about my fan itself. It's got a grill on front and back but you never know want sure if there's something I can use for both. Looking for suggestions please.