Freedom Church. Seems pretty moderate on balance, even though they tend to be somewhat more conservative than me theologically. I wouldn't mind being a member if they lifted their ban on gay clergy and weddings.
That won't ever happen in my lifetime and probably not yours. The UMC is in some regards a victim of its own success in evangelizing outside the United States. The Methodists in the US are but a fraction of the total membership of the UMC. That's why I foresee the UMC continuing to shrink in this country. The way it is organized makes it nigh on impossible for local churches to go beyond where they have gone on LGBT issues and I see no real future in this country for an otherwise liberal church that doesn't fully embrace the LGBT community.
It's a lot easier for individual members to change church than for a church as a whole to abandon its building and start anew elsewhere, which until the overseas portion of the church liberalizes on that issue is all that UMC members can do to go farther.