Is she able to crawl around alot on her own yet? My son (now 10 mos) was like that until he got moving, and now he likes to play and explore on his own alot (with everything baby proofed of course). He will even sit in the bottom of the tub while I shower (with the nozzle pointed as far forward as it goes, if she's not sitting on her own, you can use a Bumbo of you have one), or play on the bathroom floor.
For this purpose I bought a long suction-cup non-slip tub mat and a large rubber bottomed soft bath mat for the outside, a clear shower curtain so I can see him, and a toilet lock. Now that he can pull himself up to stand, he likes to stand on the outside of the tub and watch me shower, he pulls the curtain open and shut and reaches in to get a little wet, and laugh at me with shampoo in my hair making silly faces. That way I can get clean first, while still interacting, and then bring him in after. I just wash him up while he sits and pick him up to rinse, put the plug in and make a little bath, or hold him on one hip and just wash his bum/ genitals last so he doesn't slip off.
I used to hang the jolly jumper on the bathroom door frame or out him in the Bumbo on the bathroom floor but he doesn't like to be strapped in anymore.
Also, sometimes a long deep bath is nice so we can soak, and he can kick and slash and "swim" a little, sometimes I sit and feed him in there and listen to the radio, he even falls asleep. It also helps to a big terrycloth robe you can just wrap around both of you, instead of trying to towel off together.
As for sleeping, mine's the same way, I use a large fan for white noise, and works pretty well. But he still wakes almost hourly at night, and usually only sleeps 30-45 minutes at a time during the day. I used to put him in the swing to keep asleep for naps, and could sometimes get 2-3 hours, but he's grown out of that.
For cleaning, I'm a slob and so is my husband, but in order to have the place safe a baby we had to do something. Using bins prevents having to organize too much. One bin for dirty clothes, one for clothes that are still clean enough to wear again. Bins for socks and underwear. A small laundry basket in the living room for the baby toys, all the baby clothes in cube bins on cube shelves so they don't need to be folded. One bin in the coat closet for all the purses, gloves, scarves etc, another for all baby outdoor clothes, and hooks for all the big stuff. Small bins on the bathroom counter or shelf for the things each person uses daily (eg mine has my deoderant, hair brush, multivitamins, facewash, makeup bag). Then all these things don't have to folded, hung up, or put in a certain spot in a drawer. Unfortunately there's no bin that will magically take care of dirty dishes...
I definitely know how you feel, I spent the winter trapped in the country while my husband worked out of town. Moving with a baby has been hectic, but now we live in town and getting out makes all the difference. See if you can find a playgroup of some kind, maybe storytime at the library, that gives you adult interaction to look forward to each week, and get out of the mess. I even joined a book club with a bunch of old ladies that didnt mind me bringing the baby along... but then i couldn't find time to read the books....