Wyoming has two basic options for hunters trying to get a tag.
#1 General season units - residents get a tag to hunt every year that they can buy from anywhere that sales license (Walmart, gas stations, etc) Nonresidents have to apply for a zone (G, H, K, etc). If they draw then they can hunt the general season dates for the units in that zone.
#2 Controlled hunts - residents and Nonresidents have to draw a tag.
You can draw a few tags with zero points this year but those areas have less public land and/or have more difficult hunting in general. You could also get lucky and draw a better tag in the random draw with the plan of buying a point if you don’t draw.
As a Nonresidents this year you may need 8 point to guarantee a tag for a popular area known as region G. Residents get to hunt region G every year with an over the counter tag. If you want to hunt region G expect a minimum of 10 years of building up points with a minimum total cost of $1000. However, with point creep it could very easily take 15 years or more to draw G and over the next 10-15 years the license fees and point fees will undoubtedly go up. In addition to likely increased costs, the number of tags given to nonresidents in region G and hunting season and other restrictions will likely change over the next 10 years. You can now see why many nonresidents have figured out that point systems are bad for them as hunters. New Mexico and Idaho are states that don’t have point systems and many of us that hunt multiple western states wished all western states did not have a point system.
Wyoming G&F website has a hunt planer section you may find useful.
You may be able to kill a 150” buck in a zero point unit but odds are against a nonresident that has never hunted mule deer that probably won’t be able to scout/hunt more than 5 days.
If you really want to hunt this year then I think you should go for it. Just expect it to be an adventure and learning experience with a small chance of killing a big muley.