Luke becamne a real healer when he found the Lord.
Yes, doctors are roundly denounced throught the Bible. The clearest is in Jeremiah Ch 17, where it is made plain that seeking healing through the ways of man is failure.
Also look at the chronicle of King Asa, where it clearly says that he turned away from the way of God to seek healing from men.
Or the woman with the issue of blood that touched Christ’s garment; it says that she wasted all she had on doctors.
There is nothing good said about man’s medicine in the Bible.
OK, so Luke was a decent healer before, and a better one afterward. Neither Jesus nor anyone else in the biblical record denounces Luke's profession.
...doctors are roundly denounced throught the Bible.
Not true. Seeking healing from doctors to the exclusion of seeking healing from God is what is roundly condemned in what few places it is mentioned.
...the chronicle of King Asa, where it clearly says that he turned away from the way of God to seek healing from men.
The text says that "in his disease he sought not to the Lord, but to the physicians." Asa's fault was NOT that he "turned away from the way of God," and it was NOT that he sought healing from physicians; Asa's sin was that he never called upon The LORD to heal him, and that he ONLY sought healing from physicians. Moreover, the text makes clear that Asa was a wicked King; he plundered the temple of YHVH, and oppressed the people. So, where the text says "in his disease he sought not to the Lord" it is NOT merely noting that he did not seek physical healing from God, but that his heart was also unrepentant before the Lord. This text is not merely about a physical healing, here; it concerns Asa's spiritual condition, as well.
You cannot legitimately blame those physicians for Asa's failure to seek healing from God; the text doesn't, nor does the text condemn those physicians for trying to heal Asa's feet. That Asa's condition was beyond the medical technology if his time does not impugn the physicians; it only further condemns Asa's failure to seek healing from God.
Or the woman with the issue of blood that touched Christ’s garment; it says that she wasted all she had on doctors.
This vignette is recorded in all three of the synoptic gospels, and only Mark makes any reference at all to the woman's track record of seeking medical help. Mark writes, that she "had suffered many things of many physicians, and had spent all that she had, and was nothing bettered, but rather grew worse."
Evidently her condition was beyond the best medical technology of her day. She hunted down every physician of any repute at all, and none of them could help her, despite their best efforts. Her money was wasted only in the sense that her healing was beyond the most advanced medical knowledge of her time; she was trying to buy what that era couldn't offer. That is decidedly NOT a for-all-time blanket condemnation of the practice of medicine in all places at all times; it is merely an expression of how thoroughly she had exhausted the medical community of her day, and how glorious the healing was that she received from Jesus.
There is nothing good said about man's medicine in the Bible.
Pffft!! Why stop at man's medicine??
The bible has nothing good to say about man's automobiles, man's mobile phones, man's indoor plumbing, man's electrical grid, man's petroleum industry, man's food supply chain, or man's computers; are you going to quit using all of these things simply because they are not lauded in Scripture??
If you don't, you're a hypocrite.
OR...maybe you could simply concede that availing yourself of man's medicine must be every bit as legitimate as availing yourself of all of these other things that you use daily.