Move Table Rate to Top of Shipping Method List in Cart and Checkout

I am building a new webstore for my organization, and I am using this plugin to create a weight-based flat rate shipping option, in addition to a USPS shipping rate plugin. The plugin works great for creating the new shipping option–all I’m wondering is if there is a way to move the option created by this plugin so that it is ABOVE the other options (first in the list) on the cart and checkout pages:

Is there any way to do this?
Thanks!