It looks to me as if you'll need all of that 32mm at least. It would be good to have a heavy 1.25" ring spanner in your back pocket just in case. Having said that, I'd be in your situation: the biggest ring I have is only 1.125" from memory, and I tend to handle larger nuts than that rarely. When I do have to, I drag out a heavy old Dowidat 24" adjustable, and adjust it up very closely onto the hex. However back in the days when I had a tractor I found that just wasn't adequate to deliver the torque required, and I had to borrow whatever 3/4" drive socket I needed, for use with a giant breaker bar. You aren't in that situation here: I don't think you'll need a whole lot of torque. If it doesn't come off easily you will need to apply some Penetrene and wait a few minutes, rather than just try harder.
I suggest you take some Penetrene with you.
