I'm with mynewnickname. I don't have anxiety - so not trying to downplay what you are feeling, but I live in the woods and we have deer, squirrels even the odd coyote can be heard at night. We don't really interact with them, but they are in our woods.
Every fall, we get about 5 mice that we need to trap. We just clean up any droppings, and the problem is taken care of in about a week. This happens to nearly every one we know of in our area. I've never heard of anyone catching the virus if that helps.
Outside I can't imagine the virus really spreading, as Diane mentions. You'd have to stir up a nest with droppings, etc. I think and the chances of that, with an infected mouse, especially on the east coast .. pretty slim.
I get you're worried (my mom worries that my kids will get tics from our deer - she has anxiety) - but knowing as many people as I do who have had mice in their homes, with no problem (other than having to trap them), I think you're ok.
I'd just get your husband if you don't want to, to wear gloves and a mask (if it helps you) and get him to check your car - just so they haven't gotten in and aren't doing any damage.