Gnarwals are great. I know a guy selling one if you need one as they are hard to come by at the moment.
The C3YoYoDesign DiBase and Capless are models to consider. The YoYoSkeel Stalker is a little speed machine as well.
Seriously, one you break $60(usually, not always have to go that high), you get stability “standard”. Really, honestly, if you throw good, any yoyo made today is gonna be stable provided it’s not a junker yoyo. Even low priced stuff like the Stackless Grind machine, PSG, Asteroid and Lyn Fury are stable on a good throw.