I can't find any state that outlaws "medically necessary" (I'm assuming you mean life of the mother) abortions. Yes, there are including here in TN states that require justification but I didn't see any of them that outright ban medically necessary abortions.
Interactive Map: US Abortion Policies and Access After Roe
Women, nor men currently have complete authority or autonomy over their own bodies and haven't for decades so that argument is not valid. Also the fear that a woman would be prosecuted for going out of state for an abortion is unjustified, there is no possible way for any such law to stand a court challenge.
Now, with all of that said I 100% oppose a federal ban on abortions so much so that I will not vote for a candidate who supports one. If it came up for a vote in TN I would vote against completely banning the practice I would vote against it. I would vote for a state law banning the practice after say 8 weeks but I am open to discussion on maybe a shorter or longer term by a week or 2.