The secret to doing big pulls are two things: Make use of your defensive cooldowns, and spam AoE attacks. So, as you run along gathering mobs, hit them with an AoE as you pass just in case you need a heal midpull. Then when you've gathered enough, pop a cooldown, position them, and just spam your AoE skill until your resources are dry.

Now, if you're spamming AoEs and the healer is STILL pulling hate off you, then you just need to upgrade your gear. If people bitch at you for doing normal pulls while you're still gearing up, just inform them that hey, your gear isn't quite up to snuff yet and you're working on fixing that.