jimny tyres with OME lift

Have a 2002 Jimny. Looking to fit some good A/T tyres, and potentially fit a suspension lift.

OME kit lifts 40mm. Anyone know what tyre size this permits me to fit?

(Standard size is 205/70R15 which equates to 669mm diameter. Was looking at Cooper ST tyres of which smallest is 235/75R15 = 727 diameter. Thus by my calculation 727/2 - 669/2 = 29mm increase vertically will fit within 40mm lift. )What about potential to rub on other areas (sides of arches, or other components) especially considering width increase to tyre from 205 to 235? Fit of spare on rear door?

Anything else to advise? Can I increase tyre size like this (should it fit) without any gearing change required?

Any other type of tyres to recommend? (Main use is bitumen, but I need a bit of mud grip in victoria trails)

Thanks,
Troy.