Just wanted to add that the exact same codes are happening to me under the exact conditions described.
348A - MAP Thermostat jammed open
293E - Coolant temperature sensor: multiple fault
Only happens if ambient is less than 45F. Only occurs once after initial start in the AM, then fine after code reset. Thread with more detail here:
https://www.1addicts.com/forums/show....php?t=1777552