Rice’s acceptance rate for the last two years was only 15%. Rice has reported that of the people actually matriculating this fall, 40% had a perfect GPA of 4.0. So your GPA is going to be significantly below the average for accepted students even if you bump it up to a 3.78 as you hope to do. As for your SAT scores, your Math is perfect, but your writing is only in the middle of their range, and your reading is at the 25th percentile. That’s based on the 2014 entering class stats, and they are improving each year. So from what you have right now, it is hard to say that your chances would be better than the 15% average admission rate and probably below. Sorry to be a downer. BUT . . .
If you can blow out your ACT with a score of 35 or 36, write great essays, show LOTS of interest, and get terrific recommendations – particularly from your GC, you might just be able to pull this out. Demonstrated interest is very important to Rice.