btdt momma, and I know it is rough! It sounds like you are doing a great job coping already!
With ds I made up a nonsense song that I sang to him when I was just ready to fall over, something about how much I loved him. I needed to hear myself say how much I loved him, and that helped me get past the rough patches.
Have you tried driving her in the car? Will she stay sleeping even after the car stops moving? I often ended up driving ds around, then keeping the car running while parked in the driveway with me reading/dozing in the front seat. You take sleep where you can get it some days ...
We also took lots of long walks outside, walking him down to sleep. Some days I had the energy to sling him all day, some days I walked him in the stroller until he slept and just wheeled him into the house and parked him in the bedroom to finish his nap.
Have you tried putting her to sleep on her stomach. (gasp!!! I know, I know.) dd2 sleeps SO well on her tummy, but put her on her back and she starts to fuss right away. I wish now that I had tried putting ds to sleep on his stomach, but I was too nervous to give it a try.
Can you just lay down and nurse her to sleep and stay with her in bed for several hours at some point during the day? Even if you don't sleep you'd get some rest, maybe some cat naps, and being close to you and able to nurse at will would probably keep her in a sleepy/snuggly mood.
Baths are also great for soothing babe, and all that bathing also seems to tire out babies and get them ready for sleep.
ds also really liked to go to La Leche League meetings. Really! I'd take him to a meeting and he'd immediately fall asleep for the whole time. No one would beleive me when I'd tell them it was the only time he had slept in a day or two. I've never really understood it, but you can bet I became a regular. So I always recommend LLL for fussy babies!
This may sound silly, but making sure you get a shower every day, are wearing clean clothes and eating decent food is so important! It makes you feel like a human being even with only two hours of sleep. Haning out in the bathroom while you take a shower might be interesting for your babe, as well -- all that warm steam blowing around, interesting water noise.
The advantage to your dh being out of town is that you don't need to accomodate anyone else's schedule but baby's. If she fusses during the night, so what? You can get up with her then, not bothering anybody, and catch up on sleep with her during the day later. At least, that what I tell myself when my dh is out of town. (Which he is now, by the way, so I really feel your pain, lol.)
It *won't* last forever, it really really won't! {{{HUGS}}}
She rarely sleeps and has to be constantly in motion to avoid fussing...it makes for one tired mama
: Just know that you are not alone 
