I'm presuming that at 11 weeks your baby can hold her head up? I always used a soft fleece pouch sling at that age, in a hip carry which meant the baby was sitting on my hip, I could put one hand round them to pat them easily, but generally had both hands free to do stuff. It also means they can see all around easily.
I would also second what Argenta said - this is an 11 week old baby, she's not meant to be independent and no-one, least of all babies, learns anything useful from being left to cry. If you're ever in any doubt of that then read Why Love Matters by Sue Gerhardt or What Parents Need To KNow by Margot Sunderland both of which detail the very latest neuroscientific research showing the damage which can be done to babies' brains by unresponsive parenting and controlled crying.
A baby has been inside your body for 9 months and then outside of it for les than 11 weeks. She depends on you for her life, so it is a very clever survival adaptation that makes her cry when you're not holding her. She hasn't learned what they call 'object permanence' at her age - so she doesn't know, if you put her down, whether you'll be back or not, so che cries to get you back, pronto.
I would also say, that 11 weeks is a classic fussy time - growth spurt, start of teething, could be all sorts of things. Have you tried an amber teething necklace or camomile teething granules? She may be in pain.
Also, you will learn to do all kinds of things with one hand while she's on your hip. I certainly did washing up, cooking, cleaning my teeth, going to the loo, all kinds of stuff with a baby on my hip. Plus, let your standards slip. Only do the very minimum while your little one is so small, especially if your husband is away. Also, can your husband get out of business trips for a while? Because the more he's away, the less your baby gets to know and trust him as another carer and then the less she'll be happy to go to him when he is there, to give you a break.
Some babies are more vociferous about getting their needs met. This is, again, a good survival characteristic. If you're more passive and a 'good' baby, as we term it today, it's easy for you to be ignored and your needs not to be met. If you're loudly demanding and definite about your needs, then you get your needs met better. This is a good thing, though it may be exhausting for you!


Hopefully this is a phase, I love that she wants to be with me so much but...
