I don't know why but I think the darkness is better for curing and drying, even with an LED I think it would dry them out too quick.
You can make a drying cupboard/box and run a bit of piping through on a T junction that connects your airflow going into the tent and then your cupboard.
You might have to do a lot of mucking about with reducing the size of the junction going into your cupboard (should you decide to make one. I think you should, squeeze that other grow in brother!)
You want more air going into your tent than the cupboard, I've used gaffa tape and an empty biro/straws to try and minimise the amount of air lost going into your tent.
I don't know how much this will mess around with the current RH and heat levels you've got. Benefits of it are that you'll still be making use of the filter and ergo dealing with smell.
It hasn't got to be complicated, just a cardboard box that will fit in your shed and accommodate your dank.
I take it your bin men ain't come yet. Get the kids Christmas toy boxes back and use them