You yourself has mentioned that Toyota did some tweaking with suspension and opted for Yoko Advan which is one of their best tyres.
I am sure you know that lot of R&D is put into cars and tyres are integral part, so if you change one component you are changing many factor contributing towards how car behaves.
Still if you want to change the brand, pls do but retain the OEM size;
Here are the OEM options;
