Are reason, tradition, or experience sufficient guides for Christian doctrine?
No. Whatever is not revealed in or established by the Holy Scriptures is not to be made an article of faith nor is it to be taught as essential to salvation.
Catechism for the Global Methodist Church, question 37
8The grass withers, the flower withers, but the word of our God stands forever.
15And they rejected his statute and his covenant which he had cut with their fathers, and his testimony which he had testified among them; and they walked after the vanity and became vain, and after the nations which were around them, which the LORD had commanded them not to do like them.
21Because although they knew God they did not glorify him as God or give thanks, but they became futile in their reasonings and their senseless heart was darkened.
17This therefore I say and testify in the Lord: you must no longer walk just as the Gentiles also walk in the futility of their mind, 18being darkened in the mind, being alienated from the life of God because of the ignorance that is in them, because of the hardening of their heart,
8See to it that no one takes you captive through philosophy and empty deceit according to human tradition, according to the elemental principles of the world and not according to Christ.
16All Scripture is breathed out by God and profitable for teaching, for reproof, for correction, and for training in righteousness
This question opens the second section of the catechism, on Wesleyan characteristics, and it begins where Wesley began: with the authority of Scripture. The answer's second sentence is quoted verbatim from Article IV of the Confession of Faith, which teaches that the Bible "reveals the Word of God so far as it is necessary for our salvation" and "is to be received through the Holy Spirit as the true rule and guide for faith and practice." Article V of the Articles of Religion says the same, and ΒΆ104 of the Book of Doctrines and Discipline calls the canonical Scriptures "the primary rule and authority for faith, morals, and service, against which all other authorities must be measured." Reason, tradition, and experience are real helps in reading Scripture; the church denies that any of them can stand on its own as a source of doctrine.
The scriptures given for this question show what happens when human reasoning, inherited custom, or religious feeling is trusted apart from God's word. Paul writes of those who "knew God" yet "became futile in their reasonings and their senseless heart was darkened" (Romans 1:21), and warns the Ephesians against walking "in the futility of their mind, being darkened in the mind, being alienated from the life of God" (Ephesians 4:17-18). Israel "rejected his statute and his covenant" and "walked after the vanity and became vain," following the surrounding nations (2 Kings 17:15). Colossians names tradition directly: "See to it that no one takes you captive through philosophy and empty deceit according to human tradition" (Colossians 2:8).
Against these stands the durability of God's word: "The grass withers, the flower withers, but the word of our God stands forever" (Isaiah 40:8). Paul explains why Scripture can settle doctrine: "All Scripture is breathed out by God and profitable for teaching, for reproof, for correction, and for training in righteousness" (2 Timothy 3:16). The catechism's phrase article of faith and its phrase essential to salvation mark the line. The church may hold many opinions and practices; it may require belief only in what Scripture reveals or establishes.
Wesley called himself a man of one book, and he read that book with the church fathers, with careful reasoning, and with attention to what God was doing in the lives of his people. The Methodist habit is the same. Reason, tradition, and experience serve the reading of Scripture, and Article IV of the Confession of Faith keeps them in that serving place.