I went from a 3.70 to a 4.11 and loved it, that's 11% change, 3.89 - 4.11 is only a 5% change, my guess is the 3.89 should do great.
My 3.70s certainly had no issue accelerating, where the 4.11 did better was in 5th, it allowed me to slow down a little LOL That was a 10.61 SLR , same tire size.
So your 11.16 should be real nice with the 3.89, in between the two and still gives you a 3.18 in 5th.
Let us know how you like it!