C.L.
Good for you for meeting her needs... perhaps she's what Dr. Sears calls a 'high needs' baby? He has a book about High Needs babies and may have some ideas on what to do.
I wouldn't recommend the cry it out approach for the same reason the other person recommended.
I'd get a really good sling.. help her get used to it, wear her all day and do your housework while you carry her around. I would recommend the ERGO carrier, you can order it online and it's easy to use. YOu can put your little one in a back carry and do all your 'chores'.
My son wanted to be held all the time till he was 12 months old, now he still likes to cuddle, but plays on his own, wants to walk, climb etc... (he's 19 months).
He would sleep in the sling, I would vacuum and he would fall asleep, I would go for walks with him in the sling, do laundry, dishes, make dinner... I even taught some piano lessons with him in it. He was happy and that made me happy!
He's a loving little boy now and I can still use the sling on occasion... like a mom2mom sale or the bank when I don't want to deal with a stroller and it's wonderful!