(Edited following sanity check)
Web warriors effectively get their own version of Starhawk. You will want to play her and attack on the first turn, then every turn thereafter thwart, play again, and attack. Each time you do this costs 2 resources but also triggers Web of Life and Destiny, and the card you draw can be used to offset this. Effectively becomes 1 damage and 2 thwart per turn for 1 effective resource, which is a very nice rate of return.
Also triggers Warrior of the Great Web for some nice interactions with Spider heroes who like to ready themselves, such as Miles or Spider-Ham.