I am in the industry (not an agent) and there is really no fast way to do it. A couple carriers use to do simplified issue or instant issue term but the face amount max was approx $250k and it costs about twice as much as someone going through full underwriting.
Get your quote through USAA and then check with an agent or online quote service that offers multiple carriers. Metlife, AXA, ING, Banner, American General, TransAmerica, Protective, & Principal are all pretty competitive on 20yr term and should have good conversion options if your health changes drastically 19yrs from now and you want to move to permanent product at todays health rating.
Most likely the carriers above will see your health differently. Some might be at Preferred Best while others at Standard or worse. Going with a broker that represents multiple carriers allows you to take those labs/exam results & records to others carriers (shop them)and make sure you get the best offer.
I know its not the most exciting thing but it really is an important piece of financial planning. Good luck.