As much as I love Daredevil, he does not have superhuman strength, agility, stamina or durability, nor does his heightened senses act like precognition, and his web shooters are sort of a big deal.
If Spidey was robbed of his super human levels of his physique as well as his web shooters, but was able to keep his fighting ability and spider sense, it would be a much closer fight that DD could win. Daredevil is the better skilled fighter, but that's the only situation he'd pull it off with.
Spider-man is a walking, talking powerhouse, period.
In a straight up fight, Spidey would