Hi Claire
A couple of points:
1. Why on earth are you on a mixed insulin. On diagnosis last November I was started on a good basal/bolus regime and it is great. Please please please talk to your health care team and get changed over. You will find yourself "eating to the insulin" as you have described - it should be the other way around!
2. You mentioned that your tracker bar had 7g SUGAR in it, but what was the total carb content? I'd be quite surprised if there was only 7g of carb in the whole bar. You know that all carbohydrate affects your BG levels, not just sugar, right?
3. It might be a good idea to have something in the way of a long-acting carb BEFORE you exercise, not just afterwards. This should mean that you don't have a significant dip. The trouble with going too low is that it is much harder to be exact with hypo treatment than not going low in the first place: it can sometimes result in dips up and down instead of staying steady...
4. Your 12-something reading may well have been because you DID dip quite low and then experienced a glucose dump into your system. When you go to low at night, your liver will release all its stored glucose into your system - as diabetics we can't regulate this with insulin. Once that happened, the exercise may have caused the levels to keep going down down down during the night.
All very confusing, I know! My top tip would be to get changed off the mixed insulin, though, honestly!