Here's a list of the Intel-produced motherboards that I could find with LVDS support (with prices from Amazon US):
Boards with integrated Atom processors:
D2500CC - $112
D2550MUD (and D2550MUD2) - $90
DN2800MT - $120
Boards with processor sockets:
DH61AG - $75
DQ77KB - $100
The DH61AG board has no serial ports. The D2500CC has four serial ports, 2 via back panel and 2 via board headers. The rest have either one or two serial ports, but none via connectors on the back panel.
You'll have to check the store and vendor websites for information on boards with LVDS from other vendors.