So your boots are cheap and weigh only slightly more than 2 pounds (which is quite light). 'Nam boots or something similar?

There are probably much better boots for your purpose. When you walk any significant distance, your foot gear is your single most important piece of equipment (well, actually, your two most important pieces of equipment). I used to put big money into my hiking and climbing boots and shoes. Today, very comfortable and functional foot wear is available at relatively cheap prices, although they are not as durable as the items available years ago.

My outdoor experience has convinced me that the three items on which I will spend whatever is necessary to obtain appropriate gear are boots, backpack and bag (sleeping). Just about everything else can be improvised or worked around. Put care and thought into obtaining good items for your feet.

By the way, I am not at all convinced that high top shoes necessarily prevent sprains and other injuries when hiking. High tops definitely are worth it in a work environment as protection agains various dings and blunt trauma. Anyone know of any studies?