I had put together a preliminary progression of rBC3 No-SC a little while back. Feel free to add anything in, if there's something missing!
Time Player Date Setup Video/Source
2'29"564 Dogi.de.ms 4/12/2008 Funky Kong/Bowser Bike
2'25"825 Mander 4/13/2008 Funky Kong/Bowser Bike
2'25"665 Unreal 4/16/2008 Funky Kong/Bowser Bike
2'25"394 Unreal 4/20/2008
2'21"828 Fabien Da Silva 4/20/2008 Player's Page
2'21"277 G-danzee 4/23/2008 Player's Page
???
2'21"452 Shaun 11/28/2008
http://www.mariokart64.com/cgi-bin/yabb2/YaBB.pl?num=1227840853#122'20"510 Shaun 11/29/2008
2'19"823 Doom 12/6/2008 Funky Kong/Bowser Bike
https://www.youtube.com/watch?v=wl82di4bXX82'18"599 Bubbles 9/1/2009 Funky Kong/Bowser Bike
https://www.youtube.com/watch?v=l6aGBS70jsQ Chouy may have had WR before with unknown time
2'18"380 Doom <7/8/2010 Funky Kong/Bowser Bike
2'18"318 JimmyB 7/8/2010 Funky Kong/Bowser Bike
Don't know if Fabien or G-danzee used SC. But they were top players at the time, and are listed on the Non-SC chart, so I figured it was worth putting on here preliminarily
Went back and found this progression I put together a few years ago, if you're interested!