I'm a firm believer that heavy resistance training (weight lifting) is one of the best approaches to losing fat and retaining muscle.
I find that the key to avoiding hypos during exercise is to workout as far from my last bolus as possible. Consequently, I prefer to workout first thing in the morning after a couple cups of coffee and no food/insulin before the gym.
It sounds like you're off to a very good start in testing and understanding how certain types of exercise affect you. Very few people take the time to do that, yet it's extremely important.
To answer your question: while there are some types of exercise that may be (slightly) better than others, your diet is ultimately going to be what controls your weight and body measurements.