GentlyFeral,
Yes, but in my experience they tend to be either Unitarian Universalist or United Church of Christ (the joke goes that "UCC" stands for Unitarians Considering Christ :-)) Seriously, I am not aware of any denominations which are both non-Trinitarian and doctrinally conservative, which seems to be what you are looking for, if I have read you correctly.
The church I attended was originally Baptist and became independent when the congregation voted on whether to continue with the Trinity or not. They also gave up hell-fire and some other Baptist doctrines. There are other congregations now doing the same, especially some that formerly belonged or still belong to the Church of Christ (not United Church of Christ). Some non-Trinitarians have formed "house churches." Check out also the Church of God General Conference. There is also a denomination of very fine Christian people called Christian Millennial Fellowship. My experience with some of these groups is that they really care for one another, and though they are non-Trinitarian, their emphasis is more on Christian living than on doctrines.
Frank