Being that you mention that you have a daughter at home, you actually don’t want to work from home. Perhaps you can get yourself a private office someplace.
As someone else here pointed out, even if it is technically ok, we wouldn’t want to have our hands in Tuma. However, Parnassa is not something taken lightly, even in Halacha. Perhaps Chazal were refering to this case when they said Pshot Neveila Bashuk V’al Titztarech Labrios.