Karen nd Al, do what ever you are comfortable with. That is what we do.
I notice that you live near Fort Collins so you have some idea of weather in Colorado. You can also always get weather reports, forecasts and road reports on an hourly basis to plan your trips.
We live in the Mountains a couple of hours West of you and we travel with our RV, as we have done for over 50 years, in every season of the year. We have, many times, traveled from one of our ranches through or past your town. From our North Ranch, through Laramie, then down US 287 past you, and on US 287 on to Amarillo, and into Fort Worth, etc., we have traveled every month of the year. In the Winter, and even in Summer, when we are on that route, as any route to anywhere, we always check the weather before we start each day and almost always avoid bad storms. If you park during, or just before a storm, we, and you, can travel anywhere anytime. Just don't travel when visibility is bad. If you learn about a coming storm, just plan when to start for the day, and plan when to stop to wait out the storm.
There have been a few times, usually in summer when we run into an unexpected bad rain storm, when we just pulled into a parking place, RV Park, Truck Stop, WalMart, etc., and waited out the storm, usually only a few hours and sometime over night. We have waited in the Winter too, when an unexpected snow storm caught us, the last time in Limon, Colorado last spring on our way back from Missouri. We just waited out that storm, over night, and then continued, from Limon where we had stayed over night at the TA Truck Stop. There were snow drifts over four or five feet high along I-70 over night almost into Denver. By 10 AM that morning after the storm, when the Highway was again open, we drove on. We had no trouble driving on into and through Denver by 1:00 pm. This is typical when we do have to wait out a storm.
If you are comfortable doing so you will find that there is really no reason to not travel in Winter. But again, do what you find comfortable.