Presently, I do not believe that the power of healing exists any longer. The reason is that the laying on of hands was done by the apostles, and they are dead. You might - if you are blessed - ask to be healed in prayer and get some help. It shall never be what Jesus and the apostles did, to that extent.
However, God and Christ do what they want irrespective of what I think is done today. Jesus rose not as a human but as a spirit being, in that kind of body. So, that he rose into the heavens is beyond what I have knowledge about. I have no idea what can and cannot be done by spirit beings. If it says he did it, is good enough for me. I go fully by the Bible, but use a harmonious interpretation.
As you said, healing and resurrection is really not the same thing. Resurrecting a person dead for 4 days where the cells of the brain are dead and gone - is only by the power of God which is what was used. God listened to Jesus, and granted his prayer/request.
Here is an image that is interesting. What it means is beyond me: