I think that is too light. You asked for thoughts, thats mine. If i were going to err, i err to the side of caution. I don't try to get as light as possible and wonder if my equipment may or may not have the ability to kill. I shoot upper 60 #s most of the time, but I do have a bow that is 53#@28, I pull 29".
I know that much poundage is not required for killing a deer, but I shoot it well and feel comfortable with it. I shot Mrs. Hope last year, she was 49#@28" and I did kill a small buck with her. I know light bows can do the job, but 36# is super light, not even legal in AR.
Your draw is a huge plus, but if you have to ask the question, you have your doubts in the bows ability to be effective also. Just my 2 cents.
God Bless,
Nathan