My answer would be no, for reasons along this line of thought.
I don't think I could relinquish that much control of my life, regardless of the cost. There are many fields in medicine that interest me, but there are also many that do not. I wouldn't want to be stuck doing geriatrics, bariatrics, pain management, neurology, or orthopedic surgery (go on, shoot me) for example.
I'd take 200K+ in debt and the career I choose over no debt and one I didn't choose (and potentially actively dislike) any day.
If it was "random medicine specialty or not medicine", my choice would be not medicine.