Here are my tips from my experiences interviewing with UTC (Tupelo)
1. Show humility, if you don't know an answer, don't fake it, because everyone in the room is way smarter than you and it will only make them uncomfortable. Instead, think out loud, work around the problem, tell them what you do know about the (drug/pathophysiology/vent setting) and try and draw conclusions from the information you do know.
2. Don't be overly nervous, they really weren't scary. I made what I felt to be a couple boneheaded mistakes but they really didn't tear me apart like they could have. My favorite person at the table was actually the chief Anesthesiologist for NMMC, he seemed to be my biggest cheerleader during the interview so I appreciated that, LOL.
3. Have a good question ready for them at the end of the interview. I felt like this is really where I made ground in both of my interviews simply getting to talk to them without as much pressure.
As far as the application, I don't know if I have any great advice other than get it done! ?
Here are my stats because I would've wanted to know them in your shoes: GPA 3.61, science GPA 3.39, nursing GPA 3.39, GRE 313, 2yr 3mo at a level 3 trauma ccu/cvicu, 70 shadowing hours, no grad level work.
I ended up getting accepted into UAB which worked better for me and my spouse, so I waived my UTC seat. I was just a tinge disappointed though, I really liked the vibes I got from the UTC faculty, and the students who hosted us before the interview really seemed to love it.
Best of luck, you'll do great!