I'd think about going US206 to I287 to I87 to I787 (at Albany) to NY7, which becomes VT 9 and NH 9, to I-89 S and then across the river at Albany as seems best (which probably is I-93 N to exit 13/US3 South to NH28, but you could also go south at Bow Junction on 3A and follow Main Street in Hookset to 28).
I am not really sure about US206, but you probably know whether it's reasonable or not. VT 9 has some decent hills but is not a bad road by any means, and NH9 is likewise a pleasant drive. I don't think there are any particularly low clearances along NY7 / VT9 / NH9; at least, I don't recall any offhand.