It's good you're looking to do something about your blood pressure. Here we talk incessantly about bg's and A1C's, but everything I read makes it clear that for microvascular complications, high blood pressure is at least as big of a contributing factor.
My bp was often 135/85 or so and my doc felt that was too high, and I agreed. I started with Altace, a brand of ACE inhibitor, and that helped but still my bp was sometimes over 120/80 and we wanted it lower. So I was switched to Lisinopril/HCTZ, a combination ACE inhibitor + diuretic, and it is working very very well, with my bg always below 120/80 below at checkups.
Beta blockers were not a popular choice for my doc but I don't know why.
I never had any problems with the two different ACE inhibitors I tried but there's a range out there if you've had problems like the cough with one, it might not happen with another.
Clearly good hydration when taking a diuretic and training a lot is important. But I don't think that's a problem, is it?