I put the TKO500 in a couple years back. I originally had a 2.78 posi which was OK but later put in a 4.10 posi. The 4.10 gears are a bit much and think either 3.90 or 3.73 gears would be great. Based on your gears I do not think there would be any issue at all with the TKO500. The 5th gear is great for crusing.
