It is very unusual for I-80 within the state of Nevada to close due to snow as it passes through areas with generally moderate precipitation, although snow often causes the highway department to impose tire chain requirements in some reaches. However, I-80 is closed an average of about once a year for various lengths of time, up to about a week, in the adjacent state of California due to typically higher snowfall rates in the Sierra Nevada mountains.
13.3333
I80
I80/94 to I65
I80
Interstate 80 has a total length of 2,899.54 miles.
Milton, PA
I80 miles 3.29 hours
That will be the I80.
I25 north to I76 east (forget E470... the tolls on that road are absurd) to I80 east to US83 north to US18 east to US183 north to I90 east. Now US83 and US18 can be some pretty lonely roads... I used to run 18 wheelers from Elbert to Sioux Falls... if you're worried about this (which is a legitimate concern in the Winter months), and don't mind going out of your way, you can run I80 east to I29 north, and it's a straight shot to Fargo, although it does put you well out of your way.
If traveling by road in a northern route (I76 to I80) then Chicago would be the closest large city at the halfway mark. It taking the southern route (to avoid Chicago and tolls) (I79 to I70 to I465 to I74 to I80) then Bloomington, Il would closest to the halfway mark.
You should be able to make the Nebraska/Colorado border, near Ogallala.
Depending on which part of NY you're in, either I94 or I90 west (the two merge), stay on I90 when I94 splits again. I90 will merge with I80. Continue on I80 west when it splits from I90, then take I80 west all the way through to I76 in Nebraska. I76 will take you into Colorado. Where you want to go next depends on where in Colorado you're headed to. You can take I76 straight into the Denver Metro area. If you're going to Colorado Springs (I'm guessing there might be a chance you're PCSing to Fort Carson), you would take E470 south from I76 to I25, then you'd take I25 south.