Heartsteel
Singed isn't incredibly beefy, so Heartsteel can feel like some nice damage vs him, plus the extra tongue range and speed is great for chasing and escaping him. Aside from all that, his fling is the only thing that does %HP damage, and you can usually sustain enough health and damage him enough to survive, unless he flips you for free a bunch.
Swiftness Boots
For escaping/chasing!
Hollow Radiance
Hollow is nice for the extra waveclear. I think you can survive just fine off Heartsteel if you're not behind, but you won't clear waves as fast, so determine your role in the game!