@WhoRU87
So, without knowing the ownership list and the columns you have in there, I will speculate that you have a "Subject" and an AssignedTo column in them. For the purposes of a simplified response, I will speculate that both are Text columns.
In your Intake form, you could have your DropDown Items set the ownership list.
When you submit your form, you can derive the AssignedTo from the DropDown control.
If you have an AssignedTo column in your main data list, then you can add this to the form (set not visible if you don't want the users to interact with this column) and then set the Update property of the datacard for that field to be the DropdownSubject.Selected.AssignedTo value.
When your form submits, the AssignedTo column in your main list will have the value for the AssignedTo set based on the Subject selected in the dropdown.
I hope this is helpful for you.