JRW, I'm not far from your positions, having only been daignosed 14 months myself, but on eof the first things I did was to work out how exercise affects my BG control, mainly because I had a 40-mile race 2months after diagnosis.
I tend to split it into long and short duration, short being an hour or less.
Short - manage with reductions in bolus if exercising within 2 hours of the dose. If exercising later than that, monitor BG regularly and take carbs, but I can still see massive drops in BG i.e. from 7.5 to 3.0 in 5km of running (20-25 mins). Steady running/cycling/rowing drops my BG like nobody's business. Intervals can make it rise if very short/sharp rather than high paced/long distance. Yoga and weights it stays steady.
Long - reduce basal and bolus. Typically these start in the morning and I'm reducing my basal from 3U to 1U, breakfast bolus from typ 2-3U to 0.5U just to keep blood sugars moving in the right direction. Again monitor regularly 45min riding/5km running for me by experiment. Eat regularly, little adn often. I've found that I'm more efficient than most texts would suggest as I've deliberately trained my fat-burning abilities. I'm typically on 40-50g carbs per hour vs the suggested 60-100 depending on pace/speed. I go with a combination of high and low GI foods.
Fasted training is something I've been playing with and had intended to do more in the last few weeks, but I've got an achilles problem at the moment.
One other thing I would say to you is to make sure you have your basal dose right to start with, otherwise you can't start to experiement with dose reduction from any rational/controlled basis. You need to do some fasted basal tests at various points of the day. I took my basal down by over 50% by doing this, and have temporarily reduced it further due to the current hot weather.
Let me know if I can help any more, but the main thing is to experiment yourself as we all respond to the exercise slightly differently.