Remove Widget Label Titles from Showing Up on Page and Still be SEO Friendly

I am looking to create a custom sidebar for a website that I am working on and I would like to label each of the elements I am putting into the sidebar in the backend of the WordPress widget section under where Title is specified, but not have this information actually appear on the page itself.

The reason I do not want the title to appear is because I already have an image based title that will be appearing to provide it more of a customized look and some of the sections will just having credibility icon images in them so there is no reason for each item to have it's own title appearing.

I would also like to go about having these titles be removed without having a negative effect on SEO. Any tips would be appreciated.