A bitter cold snap pushed overnight and early-morning temperatures below freezing for much of the Bay Area as another icy night approaches, prompting many residents to bundle up and crank up the heat. Sunday’s clear skies and chilly weather come as the latest in a string of cold days as a winter-like, biting blast set in last week, dropping the mercury over the Thanksgiving holiday and through the weekend. Brisk overnight winds in the North Bay pushed temperatures down an impressive 10 degrees from the previous evening, forecasters said. [...] when the sun sets, another chilly evening will take hold, said Diana Henderson, a weather service forecaster. A weak storm system will trickle though the North Bay on Monday afternoon, bringing a slight chance of showers to some areas, but more than likely, any clouds will fizzle out when they hit the dry stagnant air mass over the region, forecasters said.