I don't agree that you need to (or even SHOULD) read Fraction's take on Hawkeye. The Hawkeye in Marvel comics and the Hawkeye in the Marvel Movie Universe are two distinctly different people in different situations, connected by a bow and arrow. While Disney's Hawkeye miniseries might have some of Fraction's tone, it is not likely to be that similar to the comic. Better, I think, to go in without that background.
Did I like Fraction's comics? Sort of. I thought, as a stand-alone, they were fun and pretty good. But I didn't care for the remaking of the character in to a twenty-somet