Hello everyone

I'm in the process of getting ready to start NROLFW, hopefully next week if the planets align right.
My question is this - my work schedule allows me for a fabulous workout time every morning except 1 week per month. During that week, it's going to be very difficult to get to the gym at all.
The other side of it is that I have a lot of fat to lose - I am overweight, have lost approx. 50lbs since September doing mostly weight lifting and a bit of running. I currently weigh 212 and hope to get down to 145, though it's pretty arbitrary since I don't even own a scale and will go more by how I look and fit in my clothes than anything else.
I know NROLWF is not intended to be a fat loss program and I know that most people really end up needing to eat a lot so I'm anticipating it to be fairly difficult to maintain a deficit. I do have a GoWear Fit so I know I'll at least be able to accurately count my cals.
I have a 2-part question, sort of. I'm considering doing some HIIT intervals at home on my off-days, now that I have a treadmill at home. Not sure if that will be "too much" but I will probably play that one by ear. My main concern is that while I know HIIT will help a ton with fat loss, it might make me lose some intensity in my workouts. Also, I'd end up doing stuff 5 days/week for 3 weeks at a time and then a full week off.
Is this a bad plan? I don't really know enough about recovery, etc. to know if this will even work or not. I know a lot of people who have lost weight on the program but a lot more who have not. Granted, I definitely want the lovely muscles... but I'd really rather not deal with the bulk (fat bulk, not muscle bulk) so my logic tells me that the HIIT will just help me get rid of the fat. The main thing is that I'm afraid it would be counterproductive. Keeping in mind, of course, I would keep a very rigid schedule - MWF would be lifting days and then TTh would be HIIT days with Sat and Sun off. And then of course, the full week's rest every 4 weeks (maybe some light stuff, but won't be able to go to the gym).
So... thoughts?