If it was me taking the trip, I certainly wouldn't rule out I-90. My guess is that it has fewer weather problems than I-70 or I-80. I live just off of I-90 in eastern Wyoming, and it's not closed often in Wyoming. My family lives in Iowa, and I drove I-90 to and from there (dropping down on I-29) dozens of times during Dec. and never had a problem. There was ONE January trip that was bad, but that was partly due to car problems. (Roads were closed east of Wall, forcing us to stay there one night, then the car broke down the next day, forcing us to stay in Chamberlain for a few days awaiting a part.)
I'm pretty sure it doesn't close as often as I-80 (winds aren't as bad), and I-70 west of Denver can be a bear even when it's open.
Any of them can close, but I'd look at the weather picture before ruling out any of them.