High GI Diet & Antioxidant Capicity

I thought this was interesting:

Eating high GI foods contributes to oxidative stress which is associated with the risk for heart disease and diabetes. Research indicates that a high-GI compared with low-GI diet may cause insulin resistance, promote inflammation, and increase levels of LDL (“bad”) cholesterol.

Researchers found that total antioxidant capacity of plasma was significantly higher after 1 week on the low-GI vs. high-GI diet. http://www.ars.usda.gov/research/publications/Publications.htm?seq_no_115=244050

Also, I discovered that NAC is able to improve a high-sucrose (high GI) diet-induced obesity, likely by preventing the oxidation.

http://ecam.oxfordjournals.org/cgi/content/full/nen070v1

But you must be careful before decifing to wolf down antioxidants around your workout and/or with your peri-workout drink (sugar and protein) because too much antioxidants has also been shown to be a pro-oxidant, causing potential health problems, and even reduce the effects of exercise.

So where is the correct balance between too much and not enough antioxidants?