Table Rate and USPS shipping integration

I am working to get the shipping setup for my site and running into some challenges. I have 3 basic categories of products, a 1lb product, 5lb and 25 lb product. I am using USPS to ship the 1 and 5 lb products and have USPS integrated into Woocommerce to support this. For the 25 lb product, I have an better rate through another carrier that USPS can’t match and am using Table Rate to inform pricing for this product. Is there a way that I can setup Woo commerce to recognize the price from USPS for the 1 and 5lb orders while using the table rate exclusively for the 25lb product?