Thanks for reaching out to the Community! Here are a few options for you to try.
If you check your segments page you will see a segment I created titled 'Smart List' this segment can be edited and refreshed as needed. You can Send an Email to a Segment of Contacts just like you would a regular list.
Option 2: Remove the people tagged 'Bounce - Do Not Send' from your larger list
Option 3: Manage your bounces
There are some bounce types that have a high probability of being permanently invalid and it's best that they be removed. This option will remove the need to segment or tag because you will know all the addresses on your list are able to receive your email campaigns.