I'm the complete opposite I won't let my baby cry. Laundry, cooking etc can wait imho. What I do is the "put me down and I will scream test." I soothe either by breastfeeding, holding then wait till ds is happy content to be put down.
If you feel like you will hurt your baby put her/him down walk away. Call your ob ask for a referral for help. There are free services that will come to your house and help you. Best of luck I know its hard sometimes.