S.H.
He needs to see a Nephrologist. A Kidney specialist.
His Primary Care Physician, should refer him to one.
ASAP.
Regardless of where his blood pressure is taken, the point is, his kidney or kidneys, are not good.
THUS, he needs to see a Nephrologist.
My late Dad, had high blood pressure and also, kidney failure. The cause, was Diabetes. Not because of his blood pressure.
In either situation, BECAUSE the kidneys are not good and/or failing, this HAS to be, addressed.
Also in my Dad's case, his veins were weak. He also had a stint, in his neck at one point. Then in his arm. This was for his kidneys, and to be put on Dialysis. That is what his stint, was for.
Blood pressure alone, can affect and be due to, many reasons. Not just blood pressure. So know that.
My late Dad, also had a stroke. It was due to, many reasons. NOT just his blood pressure.
Instead of just focusing on your Dad's blood pressure, while that is also very important, his OVERALL, health and condition, and his condition of his kidneys... ALSO has to be assessed. AND he NEED TO SEE, a Nephrologist.
My Dad, had a Heart specialist, his Primary Care Physician, a Nephrologist, a Diabetes Specialist, a Nutritionist, and an eye doctor that specialized in his health problems, which he saw REGULARLY.
In the case of your Dad, he should be seeing a Specialist or Specialists. NOT only, his Primary Care Physician. And, why is his Doctor, not doing anything about his kidneys???
Being sleepy all the time, can also be due to his kidneys, and it not functioning, on par. And your Dad is also unsteady and lacks stamina... and these things can be due to many... things and reasons. NOT just blood pressure.
When I read your post... the FACT that your Dad's kidneys are "not so good"... to me, was a real red flag and I wondered, WHY is he not... seeing a Nephrologist, already??? The kidneys, maintain a lot in the body's functioning.
You said your Dad is in good health... but his kidneys are not good, and he has high blood pressure. So, his health is not perfect.
And he is sleepy all the time/does not have stamina/and is unsteady. THESE things... NEEDS TO BE TOLD TO HIS DOCTOR, and he must be referred to a Specialist. These 'symptoms' are telling you, of his health status, right now.
He should not be "sleepy all the time," for example, or be unsteady. Why is he... like that??? ASK the Doctor. Tell the Doctor.
Also, how is your Dad's urine output??? Can he pee or not? If at anytime, he cannot pee or hardly pees, or is swelling up, he needs to tell you or you ask him. And get him to the Doctor. This indicates the poor functioning of his Kidneys, for example.