Another IIRC, I had, until the last 10 years or so, always thought of Presbyterians as being somewhat more conservative in the theology - though obviously not conservatively evangelical in their outlook. Again, does this sound right?
Decades ago, there was a split in the Presbyterian Church when the PCUSA lurched liberal. There were two breakaways, the Orthodox Presbyterian Church (OPC) and the Presbyterian Church of America (PCA). Both are solidly conservative.
As for the Methodists, the only branch separate from the UMC and AME that I know of are the Free Methodists (Winona Lake), but they broke off back around the Civil War over slavery.
There are conservative “Southern Methodists” too, but the numbers are too small to acknowledge.