Plateau Point is a great destination and it's a little more than 1/2 way down from the South Rim. Indian Gardens is a beauty about 3000 feet from the top in 4 1/3rd miles or so. It will be low 80s in summer. If you do that, be sure to check out the two sets of glyphs along the way. Also not too far from Indian Gardens is a nice set of Indian Ruins but is off trail.
Yes, the North Rim is a great option as well. There are some cool hikes from there and as someone suggested Cape Final would be a fun backpacking option and of course visits to Imperial Point, Cape Royal. Other hikes would include Uncle Jim Trail and Widforss which mostly keep you above the rim. Those are also on that link I gave you. Here are all my videos from my various hikes in the Grand Canyon and my river trip. You just have to scroll down to see what might be of interest for your hiking options:
https://www.youtube.com/playlist?list=P ... b9xpBw_cF9The North Rim has a great camping site. In fact, when I was there a few years ago, one of the girls working in the store was a great granddaughter of Grinnell so that was a very cool encounter. Another encounter I had was at Glacier Park Lodge as one of the waiters had worked at Phantom Ranch down in the Canyon.
On this link I gave you
https://hikearizona.com/traildex.php?SH ... ID=7&STx=3, you can click the hike and you can get all the info you might need along with the historical weather, elevation, the route, trip reports and photos. I think you will find it quite valuable. And of course, they have a forum like here and you can go on there to ask questions and like here, you will find the participants most helpful.