``Would you consider yourself as "Hebrew Roots"?
No, though I do agree with some things that are taught as Hebrew Roots.
How do you handle Paul's telling us we are dead to the Law,
Paul spoke about multiple different categories other than the Law of God, such as works of the law and the law of sin, so it is important to correctly identify which law he was speaking about dying to. For example, in Romans 3:27, Paul contrasted a law of works with a law of faith, in Romans 3:31 and Galatians 3:10-11, he contrasted a law that our faith upholds with a law that is not of faith, and in Romans 7:25-8:2, he contrasted the Law of God with the law of sin and contrasted the Law of the Spirit of Life with the law of sin and death.
In Romans 7:22-23, Paul said that he delighted in obeying the Law of God, but contrasted that with the law of sin that was holding him captive, so a law that we interpret as referring to the Law of God should make sense for it to be something that Paul delighted in doing. For example, in Romans 7:5-6, Paul spoke about a law that stirred up sinful passions in order to bear fruit unto death and being freed from a law that held him captive, and it would be absurd to interpret that was referring to the Law of God as though Paul delighted in those things, but rather it is the law of sin that he described as holding him captive.
In Romans 6:19-23, we are no longer to present ourselves as slaves to impurity, lawlessness, and sin, but are now to present ourselves as a slaves to God and to righteousness leading to sanctification, and the goal of sanctification is eternal life in Christ, which is the gift of God, so interpreting the Bible as saying that we need to die to the Law of God is interpreting it as saying that we need to reject God's gift of eternal life. In Romana 2:6-7, eternal life is given to those who persist in doing good. In Matthew 19:17 and Luke 10:25-28, Jesus said that the way to enter eternal life is by obeying God's commandments. In Hebrew 5:9, Jesus has become a source of eternal salvation for those who obey Him. In Revelation 22:14, those who obey God's commandments are given the right to eat from the Tree of Life.
In Romana 7:1-4, at no point was the woman set free from needing to obey the Law of God, and if she were to get married to a second husband after the death of her first, then she would still be required to refrain from committing adultery, so there is nothing that leads to the conclusion in verse 4 that in the same way we have been set free from the Law of God. Moreover, it wouldn't make sense to interpret Romans 7:4 as saying that we need to be die to God's instructions for how to bear fruit for Him in order to be free to bear fruit for Him or that we need to die to God's instructions for how to be unified in Christ in order to be unified in Christ, especially when 1 John 2:6 says that those who are in Christ are obligated to walk in the same way he walked. We need to die to the law of sin in order to be free to obey the Law of God, not the other way around.
Christ is the end of the Law,
n Exodus 33:13, Moses wanted God to be gracious to him by teaching him to walk in His way that he might know Him and Israel too, and in Matthew 7:23, Jesus said that he would tell those who are workers of lawlessness to depart from him because he never knew them, so the experience of knowing God and Jesus is the goal of the law, which again is eternal life (John 17:3).
In Romans 9:30-10:4, the Israelites had a zeal for God, but it was not based on knowing Him, so they failed to obtain righteousness because they misunderstood the goal of the law by pursuing it is as through righteousness were earned as the result of their works in order to establish their own rather than pursuing the law as through righteousness were by faith in Jesus, for knowing Jesus is the goal of the law for righteousness for everyone who has faith. In Romans 10:5-10, this faith references Deuteronomy 30:11-16 as the word of faith that we proclaim in regard to saying that the Law of God is not too difficult for us to obey, that the one who obeys it will attain life by it, in regard to what we are agreeing to obey by confessing that Jesus is Lord, and in regard to the way to believe that God rose him from the dead. So nothing in this passage as anything to do with ending any of God's laws, especially because they are all eternal (Psalms 119:160), but rather it is speaking about knowing Christ being the goal of the law.
The Psalms express an extremely positive view of the Torah, such as with David repeatedly saying that he loved it and delighted in obeying it, so if we consider the Psalms to be Scripture and to therefore express a correct view of the Torah, then we will share it, as Paul did (Romans 7:22), and we will consider anything less than the view that we ought to delight in obeying it to be incompatible with the view that the Psalms are Scripture. For example, in Psalms 1:1-2, blessed are those who delight in the Torah of the Lord and who meditate on it day and night, so we can't uphold the truth of these words as Scripture while not allowing them to shape our view of the Torah, and we shouldn't interpret the NT authors who all upheld the truth of these words as expressing views of the Torah that are incompatible with these words.