I have to say I would not do a bioactive setup for anything other than a gecko or a tiny snake in an enclosure that small. Between the necessary deep substrate and the heating/lighting requirements for bioactive, you are looking at a real challenge in maintaining an appropriate temperature gradient along with safe and adequate lighting. With enough substrate depth, you aren't going to be able to provide UVB safely in an enclosure that size.
The fact that your snake is hanging out on the cool side, you've been relying on UTH, and you're uncertain about how to set up bioactive (there's nothing wrong with that - it's complicated!) suggests that you'd be well served to slow down a bit and re-think your plans - ideally saving up for something like a 4x2x2 enclosure and very gradually going bioactive from there if that's something you feel you need to do.