In Green river tonight on my way to Oregon, left Silverthorne around 3:00 pm after my doctor's appointment. I70 is dry and clear from Avon. I don't anticipate any problems on Highway 6 in the morning. Check the UDOT site, you should be able to get to Frisco from SLC without any trouble.
ps, you can gas up in Price and a few other whistle stops before Green River if you need to. You should be able to make it to Fruita or Grand Junction unless you're driving a gas guzzler. I can usually make it from SLC to Fruita on one tank in my Exploder.