Thanks for the Details
The Radios (yes,no,hold) are editable fields, right?
Then you need CRED to do this.
A Form would hold the proper Custom fields and all you need to do is insert the CRED in your Views Loop, style properly with HTML so it is inline with, as example, the Post Title.
If those aren't editable, you can just add the proper Custom Fields with Types to your Custom Post Type and then display the Field in the View Loop with the proper Types ShortCode.
Fields (radios) are then edited in the Backend.
If the Radios are constant but the Posts change, means, radio and post has NO relation between each other, I would suggest a second Post Type, holding the Field (radio) and then query both Post types in the same view, wrapping in correct HTML for alignment.
This way you can change / add posts, but keep radios as they are.
But from your description, I rather understand that you want users to be able to "create" a own list of posts, according to some radios they check in the backend, the posts are then displayed according the users' choices.
Here it depends, if the User who's logged in should see he's choices only, or if those lists should be visible for all users.
Either way you would need to somehow differentiate the authors / users for this goal.
That means, if y user checks "hold", you do not know who checked that, unless this can only be done by the author itself, which I do not suppose.
So, to make this work you need rather a CheckBox List / Radio or even taxonomy list with all users.
Each post has then a list of all users, the user checks his name when he wants to put the Post in his list.
Then you create ONE view, query filter by (example Custom Field) "Display posts with Custom Field [yourfield] value [set by shortcode parameter]
This View is then inserted in a page, and you pass the User name (the exact same as you use in the Custom Field) in the ShortCode parameter.
That would then display for each User only his posts.
Other similar approaches are possible.
Please let me know if you need further infos about this.
Thank you for your patience.