3.73 is a good match for the stick at the dragstrip but, you have to tire up to 27+ inches to keep it under the rev limiter in 4th. It was good enough for 11s for me on just a tune. I think 3.55s would have allowed staying with the more common 26" tire selections and not lost much off the bottom, personally.
I would leave everything suggested and by a tuner from a reputable company like VMP, Lund, AED or similar. You want something that's going to put a smile on your face daily, this is it and it fits the $550 budget with room to spare.
2014 Premium GT, SGM, Brembo, Auto, Tech, Comfort, etc. GT500s, Steeda UCA, VMP auto tune, 100 shot on BBR tune, best et: 11.38 at 120.85
2012 GT, Candy Red, Brembo, 3.73, Tech, Comfort, etc. Procal tune, Roush upper, UMI LCAs, Steeda red bracket, GT500s, 28X10X16 Hoosier slicks, best et: 11.91 at 115.23 RIP