601handryan,
I'm assuming you're after bull elk.
If you're going alone, you will almost assuredly need a guide. Elk are huge. You won't be able to move one by yourself.
Of the two states you've identified, I'd go Wyoming w/o question.
W/o bonus points, I can't imagine you're doing a rut hunt. That means that an OTC tag will be for after the rut in non-premium units. That means success rates will be low and hunting pressure high.
Here's what I'd suggest: figure out which states & provinces consistently produce the biggest bulls. Apply for the best areas in at least four states & provinces. You'll probably not be close to a tag for about 10 years. If you're drawn for a premium area, it might be your only chance for a legitimate trophy. Hire a guide. Do not forget to hire a guide. In case you've forgotten, hire a guide.
Trophy bull elk hunting is a very limited opportunity. It's darn near to the point where it's de facto once-in-a-lifetime opportunity. If you draw a premium tag, you won't want to blow what might be a once-in-a-lifetime opportunity by trying to do it yourself, especially if you don't know the area.
After 22 years, I was drawn for what many call the best bull elk unit in the country. After I was drawn, I hired a guide even though it's common to see many huge elk every single day of the rut hunt. However, it was worth the price of admission to have a consummate professional's knowledge of immediately assessing a bull for suitability for shooting. My guide could look a bull over for a few seconds and tell me with 5 points of where it'd score; hence, whether I ought to shoot.
If you're drawn in a premium area rut hunt and you hire a guide, you probably won't be doing long range shooting. My guide was almost 100% at getting hunters with 250 yards of trophies. He got me 130 yards from a HUGE 7x7. He weighed better than 900 pounds. It's in process of mounting.
You will hunt hard. Don't forget this: you will hunt hard. In case it's slipped your mind: you will hunt your butt off. Were I you, I'd be looking at lightweight rifles that are fast handling. Anything in the .308 Win class & up will work. Keep in mind that every year HUGE bulls are killed by arrows that fly around 300 FPS. My guide had a pronounced preference for the 7MM Rem Mag. And make sure you can shoot your rifle. a .308 Win that you can shoot will be a whole lot better than a .338 LAPUA that you can't. I killed my bull with a 160 grain Partition from my 7MM Rem Mag. Were I to buy a rifle for hunting all Rocky Mountain game including trophy bull elk, I'd buy a 22" barreled lightweight .280 Rem, put a VX-3 2.5x8 on it, & never look back.
Killing huge bulls gets in your blood. I can only pray for another opportunity. I'm going back to acquiring bonus points. In the meantime, I'm considering trying Wyoming. It might take a few years to get a tag there, but if I'm drawn & I hire a guide, I ought to be able to get a chance at a 340 bull.
BTW, the unit I hunted last year requires at least 20 bonus points before you can begin to think about getting lucky. With an OTC tag, you'll need prayers just to find a shooter bull, let alone a trophy. That's why I'd suggest saving money to hire a guide while applying and acquiring bonus points.
*Identify the best trophy units in the nation
*Acquire bonus points for them
*Save money for a guide
*Get in excellent shape, you will hunt hard
*Buy a lightweight, fast-handling rifle such as a .308 Win
*Practice with your rifle, especially jump shooting
*If you're drawn, it might be your only shot at a legitimate trophy
601handryan, I wish you the absolute best of luck.
) as soon he catches his breath ... but every time I turn around and check up on him, he's got a cigarette lit while huffing and puffing. 
