What size tires can I run?

[willem445]

Thinking I need a little bigger and potentially wider (I've got some different rims but I don't have measurements for them at the moment) tires for my square. Here is a side profile shot:



Measurements:

Front (38"):



Rear (39.75"):


Current tires are LT235/85R16 which I think come out to 30.5-31" roughly. I think 33s would fit for sure, would 35s fit? Which would look better?

Finally, any good tire for someone who mostly offroads but does some towing and highway driving? Was thinking of Falken Wildpeak AT3W or Toyo Open Country A/T III.

I'm not very well versed when it comes to tires and squares so will appreciate all input!