Workout schedule:
Sunday: Morning cardio and HITT, BJJ open mat in the afternoon.
Monday: strength training, all body.
Tuesday: Evening BJJ.
Wednesday: strength training, all body. Cardio and HITT.
Thursday: morning BJJ.
Friday - rest.
QoI, after thinking on your goals, I wanted to return to this post of yours with some thoughts and soft suggestions that you can take or leave. Especially as we sort of have similar goals right now for 2017 (lean out/cut, prioritise BJJ, maintain strength).
My first thought is that the above is a very full schedule. I think that you may be at risk of overtraining here, and hindering your performance. Especially if (and shit, but I can't remember if we're the same age) you are past the big 3-0.
Now, your mileage may vary. If you are feeling good running this schedule, so be it. But it seems tough.
You definitely want to keep BJJ to three days a week. That's solid. And properly spaced out, good.
Like you, my strength training sessions are full-body workouts. What I would recommend, however (and it is what I will be doing myself), is dropping that full-body strength workout to one day a week. And what I had been doing, and will continue to do, is schedule my rest day to be the day before my hardest, most intense (or only) strength workout. If you drop to one strength workout a week, or are concerned with overtraining and ease up on the strength training, you want that strength workout to count, and so you give yourself the rest day before you hit that strength day with everything you've got.
So for me, I expect my 2017 regime to look like this:
Sunday: All out full-body strength day.
Monday: light cardio
Tuesday: evening hockey game
Wednesday: evening BJJ
Thursday: Morning pickup hockey, maybe evening light cardio, or HIIT if I have the energy. Or an evening full-body strength workout at less intensity than the sunday session.
Friday: evening open-mat BJJ
Saturday: rest
So for me, hockey takes the place of your HIIT sessions. Before BJJ days or hockey days, I have cardio-focused activity, because a heavy strength session the day before will kill me for hockey or BJJ the next day.
Just some "back-of-the-napkin" thoughts.