We have some information

https://gis.cdc.gov/grasp/COVIDNet/COVID19_3.html

There overall rate is about 24 per 100,000 people per week

You will have to select the parameters in the link, so about 80,000 per week nation wide, or average 1,600 (varying 800 to 3,200) hospitalizations per state per week.

There are about 20,000 incorporated cities etc in America...so an average of about 4 (varying 2 to 8) hospitalizations per city per week depending on severity of the area