If you cancel your individual subscription you'll still be able to post results until the end of your current billing period. For example, if you were charged for your monthly subscription on May 5 but you cancelled on May 25, you'll still have access to the service until Jun 5.
Even after your subscription officially expires you can still log into your account via www.btwb.com to check past results. Just bypass the subscription page by clicking into your profile to view history. However, you won't be able to log any new results without an active subscription.
If you would like a CSV file exported, please email support@btwb.com requesting a CSV of your workout results.