How to get a week range as a Views filter - Thursday to Wednesday
I guess that date filter with is between option filter could be a possibility if you alter the query used by your View, using a custom php builded by you to calculate values (to use and send inside query) according the current day. see this article http://www.appnovation.com/using-hook-views-query-alter about how to use query_alter hook to alter the queries used by your view.