Just dress in layers. Good warm base layer, a good sweater or sweatshirt on top of it, something on top of that to break the wind and provide another layer and a vest and you should be fine. I am outdoors playing all winter in that get up and do fine. Don't skimp on your hat however, a good hat, boots with insulating socks and decent gloves/mittens make all the difference. It's the cold you have to worry about more than the snow, if anything when it is snowing it will often warm up.

I wouldn't drop fat stacks on good down winter coat unless you get here and really feel a need to, and if you do get to that point hit goodwill. You can for sure find something there on the cheap to get you through your visit. Particularly as with the weather as wonky as it is January could be pretty warm again.