Jake,
This is a big bite. As others have eluded to, what is your background? You mention no experience with mule deer hunts. I assume you have no experience with high country hunts at all? The good news is, you can totally pull this off if you're willing to step outside your comfort zone a little, invest in some information, and work like crazy.
1. Get information. I recommend either "Backcountry Bowhunting" by Cam Hanes, or "Public Land Mulies" by David Long for books to read asap. Also, search through hundreds of forum threads on this site.
2. Get the right gear. High country respects no one. Are you backpack hunting? Hiking from a camp in the bottom each day? Pack animals? Cliche of "get the best you can afford" is obvious here. Start with quality boots, I prefer Crispi from my experience. Then work you way up from there, depending on how you will hunt.
3. Optics, optics, optics, optics. I love a 10x bino setup with a large spotting scope setup in tandem. Both with adapters to attach to a tripod back and forth. This is crucial for a "high country" hunt, especially if it's early season or mule deer in general that aren't bugling like elk, for example.
4. Physically prepare for battle. Pretend you are training to fight Connor McGregor in UFC. J/k but seriously, the high country is no joke. If the weather and the deer don't beat you, your body definitely will if you're not prepared (ultimately it will be your mind that will beat you when it convinces you to go home because this hunt is physically "killing" you). I like to do as much strength training with weights in the winter spring months as possible. Then transition to more cardio training as spring/summer roll around. Sign up for a race, biathlon, 5K, 10K, marathon, whatever. Something to get you in tip top shape, if you aren't already.
5. Make at LEAST one scouting trip this summer. Unless you choose an area you've hunted/been in before, this is crucial so you don't waste valuable hunting/vacation days learning the area and "finding where the deer are." Try to take a weekend and do a bonsai trip. This should help assimilate you physically with where you need to be as well. PLUS, huge bonus is testing out any high country gear you may have never used before. i.e. knowing how to operate your cook stove in the dark, finding water, setting up and finding your tent in the dark, etc etc.
As for a state or area, tough to say. If I had 0 points and was just trying to hunt next year, my first choice would be my home state. That is usually your best odds to draw a quality tag right away. We don't know where you live though. So, i'll assume you're not living in a western state, in which case, I'd try my luck at maybe Colorado or Idaho. idaho has some OTC options and I think the payoff can be big if you're willing to hit the backcountry. Utah will be tough to draw. NV will be tough. Montana I think has OTC or general tag options that are easier to draw I think? idk, not familiar with Montana as much. Wyoming will be tough to draw a backcountry unit with no points. Maybe someone else has better information that will help with a state but i'd bet Idaho or Montana for a high country/backcountry hunt on year 1? Be prepared to deal with bears in both states. Take necessary precautions to hang food, keep a clean camp, carry bear spray/weapon possibly.
To be honest, i'm jealous. I look forward to seeing your adventure unfold this year. Good luck!