You mean, Blade must fight him without weapons, or you means he doesn't carry weapons?
Cause he fight with swords, guns, automatic rifles, silver stakes, knives.
He doesn't go around fighting dozens and dozens of vamps without equipment.
Tough in a fight hth, Blade just need to wait the Vulture pick up him and snap his neck.He has killed humans with his bare hands with just one punch, Vulture has human durability, he's not dead cause Spidey hold back on his enemies.