120 won't be open in April. The earliest date it has opened in the last 20 years is April 29th. It opened on May 2 this year and this was a very small snow fall year.
Google maps is your friend on this. Here are the mileages for you:
If you go down to 58 to 14 to 395 it's 372 miles.
If you take 178 instead of 58 it's 359 miles, but a whole lot slower drive.
If 120 were open you're looking at about 370 miles depending on what road you take.
Going up to 88 gets you to 471 miles.
Going up to 50 gets you to about 509 miles.
I think that tends to show that going down to 58 is probably the best route for you considering the time of year. If 120 were open that is the route I'd take only because it's a lot nicer of drive.
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