Please don’t go!The Stop: Rainier Beach.The Vibe: Several of the stops along the Link Light Rail route are packed with small, hole-in-the-wall eateries featuring small menus of food from the proprietor’s home country. But that’s not so much the case at the Rainier Beach station. There is a small Mexican market and a quirky building housing a Polynesian deli that features row upon row of canned meats. (I still haven’t taken a can opener to that “Camp Pie Luncheon Loaf.”)But that’s about it. The stop is mostly surrounded by a green belt and a bike trail. If you are looking for substantial plates of food, you have two choices. And unfortunately the better one on a rainy, cold Seattle winter day is about to disappear.The Cafe: Rainier Avenue is the commercial district closest to the station, but it’s still a solid half-mile walk away. On a nice day that’s no problem. Throw in a steady drizzle and 38-degree temperatures, however, and it gets pretty miserable. That’s why it’s such a relief a mere block from the station to spot Vince’s Italian Restaurant and Pizzeria (8824 Renton Ave. S., 722-2116). The small, dark restaurant features a Sinatra-heavy music list, checkered tablecloths, and a staff that’s more than happy to just hang out at your table and chat about the old country. The lunch-menu items come in at $5.99, but the portions are dinner-sized. The pizza is the highlight of the menu (and won a Best of Seattle nod in 2009). Mine came on a puffy dough with the ideal ratio of sauce to cheese, chunks of sausage, and freshly sliced onions. There is no more perfect way to take the chill out of the bones of a cold, hungry light-rail rider getting off at the Rainier Beach station.Vince’s is reportedly closing at the end of March, so get thee to the train and ride it south to experience the joy of old Italy. And just maybe it will be enough to convince Vince’s to stay.