UT Austin McCombs + US Air Force

Currently a high school senior wanting to go into finance (private equity, venture capital) and am heavily interested in academia. I was left without any options this application season because it was absolutely brutal (21 APs, 34 ACT, 4.3 GPA, stellar ECs and sports and letters of recommendation, but my best choice was UT Austin McCombs), and now it looks like I'll be enrolling at UT Austin. The thing is, I always dreamed of doing some significant research in the public policy and economics field, and my end goal was to have a position on the Fed/in government. This means elite undergraduate school + JD/MBA combined program most likely. I have mostly been rejected or waitlisted by all of the private schools I've sent to so far and waitlisted by another elite institution that's a target. If I joined the Air Force Reserves while attending UT Austin, I'd get a great deal of my tuition covered and graduate early while getting to serve the country, gaining some perspective on public policy, and graduate early with some amazing connections and more skills than attending a pre-professional school alone. Instead of graduating in 2.5 years, I could also stick it out for 4 years and add on a BS in Economics for a sweet double major of BBA Finance/BS Econ, making me more attractive for grad school. Would y'all suggest this path, or would it be too strenuous/is there a better option? I don't necessarily want a lifetime of service but also a feeling for the experience, and I want to diversify my business/humanities heavy skillset. Thanks for reading, and I value your input greatly.