Never mind...I think I got it. I don't know if it's correct, or if there is a better way to do it...
In my child theme / contact.php page, I deleted the text between the open and closing (<form> & </form>) form tags.
YOur form gone, CF7 form is there, and my google map and the rest of the page in tact according to the template. Nice...
But if there is a cleaner way, let me know. I know there is a lot of script running there that I don't need...and I hope it doesn't interfere with the other form I have. :-b