The Orthodox generally ignore reason and have a negative view about it sadly. There is definitely more of an emphasis on experience. However, I came to Orthodoxy through reason.
Not necessarily. You should read more St. Justin Martyr, also called St. Justin "the Philosopher." He believed that Christianity was inherently reasonable and wrote a number of Apologies in defense of the Faith. He is a very
early Church Father. It's human reason, by itself, that is foolish. But, when we begin to see the Divine, nothing else really makes sense and it is only Christianity that seems reasonable.
To the OP, both played a part in my conversion from Presbyterianism. I was awed by the beauty and holiness of Orthodox liturgy and inspired by the life of prayer. Coming from scholasticism, it was refreshing to have something to do
about being Christian, rather than just something to think about.
However, at the same time, Orthodoxy had
to make sense to me first, and I spent a long time studying history, Scripture and the Church Fathers. Eventually, I came to the logical conclusion that the claims of Orthodoxy were historically accurate and theologically solid. I came to believe it was really and truly the
Church of Christ, and that I had to join it. A few issues remained, but I continued to read and ask questions of my priest and others...eventually those issues were resolved for me, and I converted formally.
So, in short, Orthodox spiritually told me that there was more to Christianity, and Orthodox history/theology convinced me that I needed it all.