Just a quick comment.

Changing from 245/70/R16 to 265/70/R16 will sure make your FC go high. The tire is now wider and heavier. IT will also increase your braking distance. If use mostly on tarmac, rugged thread will increase noise to your ears

Anyway stay withing manufacturer recommended spec or the insurance will not pay any compensation if anything happened due to modification.

The manual will tell you what size range for your car. If you go beyond the permissible limit, then if any accident happened the investigation will say that you cannot brake in time because you change the tire size beyond the vehicle brake capability, for example.

If you want more pick-up, then change to bigger wheel and lower profile tire. Less rubber, the lighter to rotate. Wheel has less inertia moment. Again, has to be within spec. Otherwise your speedometer is not correlate to your actual speed.