This is not the time for improvisation. While your version
may be fine, lawyers say to use these phrases and they have many good reasons why they choose the words they use. At best, your variation will be
equivalent to the recommended wordings, and you add the risk that your wording may not cover everything or a misuse of legal terms.
There is another reason to use the recommended phrase, too: it's a standard. More people will immediately understand your intent (regardless of how they respond).
> I want to be polite
While general politeness is always a good idea, the police are not on your side and you absolutely should not go out of your way to appease them. If they want to hassle you, they are going to do it anyway. In practice, they probably already made their quick-and-arbitrary conclusion before they started talking to you.
Don't take my word for it - this is the advice any decent lawyer will give you. I highly recommend watching this[1] lawyer explain the public<->police interaction, corroborated by a police officer who explains how they try to scam you into talking.
[1] https://www.youtube.com/watch?v=6wXkI4t7nuc
edit: fixed minor editing error