Wolf killer

I am stuckon how to apply for a elk license? I want tobow hunt & rifle hunt. Looking at the drawing odds for some of the areas, my odds of drawing are slim. Even the bow only tags can be hard to draw. The problem with the bow only tag is, I have no chance to rifle hunt.
Any ideas on the best way to apply & draw a tag? I would like to keep all of my hunting to the northern 1/3 of the state. I live in Greybull, I would like to hunt close tohome.
I am also open tothe idea of a cow/calf tag. I was thinking about applying for the area 53, 54 & 65 Type 6 tag? If I draw this tag, can I bow hunt in that area for cow/calf elk starting september-1st.???

Anyideas?

Thanks,

Wolf Killer