We've driven US95 several times, towing our trailer. With the exception of the long pull up and down the Nez Perce Indian Reservation, I don't recall any significant problems that would prevent me from recommending it to you.
If you are looking for a longer, but easier route without the altitude, you might consider I-90 west through Spokane, and take 395 into Oregon, then southwest on I-84 into Boise and on to Mountain Home. Its about 75-80 miles longer than going directly south on US-95.
Paul <?)))>< Lake Almanor, CA
2002 Thor Tahoe 23FBGL TT, 28'