Biggest Tire on Stock Wheels VS Aftermarket Wheels

Hey All, Long time lurker here.

I plan on doing the OME 2" leveling lift kit to my 2010 SR5 Access Cab (16"wheel) and am getting confused with Wheels/ Tires.

My plan is to run stock wheels (painted black) and a set of Wrangler Duratrax, and I am trying to figure out the max size I can go.

My question is what size I can run on stock wheels, VS what size I can run on a set of aftermaket wheels. I am getting confused with backspacing and offset really. Will there be a larger size with aftermarkets, or is it the same as stock?

Thanks guys! And newbie Alert joining the forum finally!

 

Usually on tire rack it'll show the min and max Wheel width you can go with a specific tread width. ie. 285 tread will fit rim widths of min: 7.5" and max: 10"

So if your rim width is less than 7.5" you won't be able to fit a 285 width tire.

I'm not sure the size of your rims but mine are the TRD sport rims which are 7.5"

 

This calculator will also help you determine what the difference is between tire sizes.
http://www.tacomaworld.com/forum/tirecalc.php

 

This will help you a little.

http://www.tacomahq.com/161/original-tacoma-tire-size/