Thanks for your responses
Definitely I have to take 1 day off in the week in order to be able to handle better my BG and avoid the lows at bed time.
The lows at 3 am I think is due to a Delayed-Onset Hypoglycemia. If a took 1 or 2 days off, the problems at bed night disappear.
Right now I am using 1 - 2 units of Humalog for a large meal of CHOs. I eat a lottttt of Carbohydrates, but I do not have a specific strategy for restoring glycogen.
But its very hard handle the Diabetes with the exercise because I love to train like a Pro (in my dreams jejeje).