The USC Center for Economic and Social Research has a page Understanding America Study with results of survey questions related to COVID-19. For example, here is a time series of the percent of individuals very or somewhat likely to get a vaccine by race (not exactly encouraging). There are numerous choices from their dropdown menu regarding perceptions, behaviors, and impacts of COVID-19. Some details about the site:
The USC Center for Economic and Social Research’s Understanding Coronavirus in America tracking survey is updated daily with the responses of members of our population-representative Understanding America Study. Each panel member is invited to respond on a pre-assigned day of the week every other week. Each data point represents a full sample of responses from the previous seven days*. The graphs are updated just after 3am PDT every day of the week.
Each graph has a link to download the data.