Are there any Dems outside of Salt Lake County or Summit County?
Nope. The only Democratic state rep with precincts outside Salt Lake County only has precincts in Summit County (Representative Brian King, who represents the safest Democratic district in Utah that takes in the Salt Lake City neighborhood The Avenues (the local LGBT neighborhood) and a bit of Summit County).
House Districts 9 and 10 in Weber County could be potential Democratic pickups, as both districts have a massive Hispanic minority (Dixon Pitcher in HD 10 barely won by less than 800 votes in 2012).
Additionally, the sprawling multi-county Southern Utah district in HD 69 was represented by a conservative Democrat named Christine Watkins until 2012, when she lost narrowly. The district had been redrawn to favor Republicans, and Watkin's opponent barely had to try to win. Watkins is running as a Republican this time around, but either way, the Dems have recruited former rep Brad King (not to be confused with Brian King), who held the district before Watkins did. If any Democrat could reclaim the seat, it's Brad King.
Other than that, Dems are doomed across the state. Even in Salt Lake County, they're struggling. At least with a state party chair election in a week, they'll have someone new to blame.