^ A patch goes on the inside of the tire, and covers a wider area across the hole. A plug just gets pushed in from the outside.
If it were me, I'd plug it and call it a day. I have been well over 150MPH on tires with plugs in them on cars and bikes and never had an issue. As long as it is in an easy location like that, just plug it and drive it until the tires wear out. If it were a track car that might be another matter, but for the street no worries at all in my book.