Admit it. You got it in your head that everyone was going to get snowed in today and you reached a point where you counted on it and were surprised this morning to learn that your employers actually want you to show up to work, as agreed, scheduled and planned. Shocker. You're not in elementary school, honey, hoping that school will be closed due to snow. You planned poorly and were surprised when you learned that the expectation was that you'd still show up as scheduled. Sigh. Welcome to the adult world. And the walking through the snow crap is just that, crap. You thought saying that would get them to tell you to just stay home. You need to put your big girl pants on and tell them that you either can't make it or if you can get there, what time they can expect you.
I'm inclined to agree with this poster. It really wasn't a good idea to go to your mom's so far away when you knew a storm was coming and you knew you were already making a bad impression by taking so many days off so early in a new job.
You say you've been trying to get to work since 6:30am. If this were true, you'd be there. In your OP, you said you could walk to a bus closer to them in an hour. Why didn't you do that at 7am? Then you said you could walk in 2.5 hours (it's a little hard to believe but whatever). If you had done that at 7am, you would only have been a half hour late. Of course, you never intended on walking, although you said you were walking when you posted at noon.
You never had any intention of going into work, so you should have been honest with your employers at 9am instead of stringing them along with fake stories of how hard you are trying to get there. You aren't and it sounds like they know it and moved on. They've already either decided to either put up with you or fire you. You'll find out soon enough. But what you are expecting of them is unreasonable. You're texting all day expecting them to tell you it's fine and not to worry or something else to make you feel better for not meeting your responsibilities. They don't have to make you feel better for failing to be at work.
The really annoying thing about your posts, OP, is that it's pretty obvious that you are also looking for everyone here to make you feel better and to tell you how horrible your bosses are for expecting you at work. So far, your bosses sound pretty good. They haven't fired you outright and they even tried to research for you a way out a problem you created. The only thing they have not done is make you feel better. I don't blame them for that. You live in an area with snow heavy winters and life doesn't stop in areas with severe weather. It was on you to make sure you were accommodating a forecasted storm, and instead you traveled 30 miles away.