Hi Joel, and welcome to TRS~!
Aside from what the 2.0 can push around, the restriction on the tire size without rubbing inner fenders or other body parts is probably around a 235/15...maybe a bit bigger like 245/15...you've probably got 14" rims on it if it is in stock configuration so not sure what sizes are available for 14"...I heard somewhere that they were doing away with 14" tires for trucks altogether (for Canada maybe).
As for what the engine will push...depends on how tired the engine is...as in how many miles and how much punishment it took over the years.
Part of that depends on what rear gears you have...and you can find that out a few ways, but the easiest way is to look for a sticker in the door that tells you the axel size...maybe in code like 86 or 87...but there is a chart in the Tech Article section that tells you how to read those codes.
And I guess it depends on what you plan to do with those tires...and whether you should be doing that for any length of time...mostly because you can wear out or break that little 2.0 much faster in some ways as others...
Sorry, I can't give a straight up answer for your question because there are just too many variables...someone else might pop off an anwer for you though...but give us more information and we can guide you better...