It's a long way for you to come for an OTC tag. I won't hunt an OTC unit, and I live here. Way too many hunters.
3 weeks is a good idea though, but I also suggest just hunting one species. I'd pick elk. You can come early, and scout and adjust to the altitude.
Deer tags are much harder to get here. Very difficult with no points.
Have you thought about what you're going to do with the meat?