Glad you’ve found the information here helpful. Sounds like you are being very thoughtful and proactive about maintaining your health. Wonderful that your Medicare plan is covering an exercise program with a trainer! It’s true that as one gets older, being more deliberate and purposeful about exercise and strength work becomes more important. good luck and take care!
There are many good options when it comes to such medication. Examples are ACE (angiotensin-converting-enzyme) inhibitors or AII-blockers (angiotensin II receptor blockers) such as Enalapril or Losartan. If this kind of medication doesn’t give the desired effect, you might have to add other medication such as so-called calcium antagonists (e.g. Felodipin) or a mild diuretic (can be found as a combined pill with Enalapril and Losartan).