The four largest US airlines have the same maximum size for checked luggage: the length plus width plus height of the item may not exceed 62 inches. (Southwest United American Delta) Your hand truck is well over that, so you will most likely not be allowed to check it. Some airlines might allow it for an extra fee, but my guess is that the fee may exceed the value of the item.
You may be better off buying one at your destination. Craigslist suggests that used hand trucks go for about $100-200. You might be able to sell this one where you are, to recoup some of the cost.
For Amtrak, the maximum size (again length plus width plus height) is 75 inches: see here. You are over that as well.
(Note: I found all of these very quickly by Googling for (airline name) + "baggage size". You might try the same if you need to know the answer for any other airlines or transportation companies.)