Another approach that works for some players is to use the C major scale on those two strings (6th and 5th) to map out the other notes as referential to them. If your aptitude for memorization is quite high, this would be quicker.
Angela Mastrogiacomo is the founder of Muddy Paw PR, where her artists have seen placement on Alternative Press, Spotify, Noisey, Substream, and more, as well as the Director of Community and Events for Music Launch Co. Her free training ‘Reaching a Wider Audience Without Spending A Dime’ helps emerging artists cut through the noise and get in front of fans and industry influencers in just a few steps. She loves baked goods, a good book, and hanging with her dog Sawyer.