Connected field on front end form but want to hide values

I have a form where users register their information. One of the fields in the form is a connection to another table. I have the option “allow users to add new options”.

The problem I am having is that I actually want a static field on the page which will then update the connection. As it stands what happens is that on the registration page if someone clicks field that is the connection they get to see the name of all the records in that field (as one would expect).

What I wanted to ask is if there is any way on a public page to set that field so it will not display the values. I had thought to set a static field on the page that then updats the table, but it’s proving a bit more complicated than I expected.