Looking at the store bought jobs, their cost etc, I really think I could make some pocket money making up a kit.
If you make your own, the thing you have got to look out for is mount the fans so they are pulling the air thru the fins, position them so if one fails you can remove it easily by a couple of screws and unplug the cable not have to dismantle the whole shebang like some I have seen.
I wouldn't close off the exhaust vent to force the fans to pull the air, if you loose the fans or power to them you won't even have normal convection air flow and may not know it till you food is hot and the fans would have to run all the time.
I like the zip tie to the vent idea, easy access to the bits.
Remember KISS, it works every time........you can go all fancy with relays, switches and all the bells but think I could be sitting in the dirt out bush trying to sort this out.....KISS means, you pull the offending bit out of the loop, all is good and it takes 10 mins.
As for a fan inside, just looked inside mine and cannot see how it would be of use, theres no damn room for a flea.