No, Romans and Galatians do not deny free will.
I agree with you there.
Actually, not only does Paul's letter to the Romans demonstrate free will, it contradicts the OP's arguments directly.
In Romans 7:19, 20, for example, it says,
19 For
the good that I desire, I do not do; but
the evil that I do not want, this I practice.
20 Now if what I do not want, I do this,
it is no longer I who do it, but sin dwelling in me.
Paul says that what he wishes, desires - prefers to do, is not always what he does.
Furthermore, in other letters, Paul directly refers to free will as a human faculty.
1 Corinthians 9:17
For if I do this
of my own will /
willingly /
of my own free will, I have a reward, but if not of my own will / unwillingly / not of my will, I am still entrusted with a stewardship.
The Greek word "hekón" is used to describe an action or attitude that is done willingly or voluntarily, without compulsion or obligation. It conveys a sense of readiness and eagerness to act, often in alignment with one's own desires or intentions.
Definition - of one's own free will, voluntary
Thayer's Greek Lexicon
STRONGS NT 1635: ἑκών
ἑκών, ἑκοῦσα, ἑκον, unforced, voluntary, willing, of one's own will, of one's own accord:
Romans 8:20;
1 Corinthians 9:17. (From Homer down.)
Paul goes even further, to show that this God given ability of free will, is vital for one to win the spiritual fight that each Christian is waging.
1 Corinthians 9:24-27
24 Do you not know that those who run in a race all run, but one receives the prize? Run in such a way that you may obtain it. 25 And everyone who competes for the prize is temperate in all things. Now they do it to obtain a perishable crown, but we for an imperishable crown. 26 Therefore I run thus: not with uncertainty. Thus I fight: not as one who beats the air. 27 But I discipline my body and bring it into subjection, lest, when I have preached to others, I myself should become disqualified.
The Bible does not support the OP's argument, but clearly shows that having a reason does not negate free will.
There are willing slaves.
Paul shows that even though his flesh was slave to corruption, his mind was not captive to sin's law, but by fighting - actually beating himself, he could direct his mind toward the spiritual things, thus making his mind a slave to the spirit. Colossians 3:2
So, free will is actually a scriptural teaching, and is not limited to just one or two scriptures.
Though many interpreting them anachronistically believe as much. The debate is entirely philosophical in nature, though there is an included hermeneutic angle but ultimately it comes down to philosophical differences that some read into the texts of the Bible.
If the debate was against church doctrine, I would not be arguing against it.
However, this is an argument against the Bible, and considering fact that the original poster is not asking a question, but rather claiming by means of a philosophical argument, that free, will is a fantasy, it is a direct attack on the Bible... which is no different to an attack on God's character, etc... typical things we get from one group of people.
I would never make the mistake of siding with these persons, since they will always be wrong when attacking things of a spiritual nature.
I can well understand that there will be those who make the mistake of siding with them, due to, as you said, ....but I will go further to say directly, wrong interpretations... which is mostly the case, when the Bible is left out as the interpreter.
So, I can understand why some who identify with Christianity, is arguing against Christians' own book.
Of course this makes the original poster very happy. Though, there is no reason why he should have any support, on this subject... except from non Christians, in my opinion.