G'day mate,
I got 285 75 16 Cooper ST's on the standard 16's. This is about the biggest size you would want to go on these rims.
The spare fits but only just. The rubber stoppers on the back are pushed in a fair bit you could trim them down make it easier to get the spare on.
You could get a spacer for a lot cheaper than $160. For that price it would be designed for use on the drive wheels.
Pic:
If you like Ill take a PIC looking down into the gap between the tyre carrier and tyre so you can sus out what will fit.
Cheers,
Dave