There is still more un-asked questions that you may wish to help folks with, to get the most useful information. Not that I want you killing cow elk, because I'm concerned that we are reducing the population of Utah's over all elk numbers far too rapidly and in far greater numbers than the resource can stand, if we want to maintain good numbers of surplus cow and bull elk to harvest into the future. But......that's for another time and place.
Your MM name is PSEbackcountry, that gives some inference that you might be an archer or would like to be.
I think more folks have been responding to your initial question regarding the number of points it will take to draw a cow elk tag, have or may have been assuming you were inquiring about rifle hunting cow elk, which is what folks are doing this week. If you are asking a "general question" the answer would be somewhat different and maybe more to your liking.
Any archer I know, that wants to, can hunt cow elk ever year, including with a spike bull elk tag. So, if you are an archer and want to archery hunt elk, you should be able to purchase (not draw, they are first come first serve) any spike bull unit in the State, and there are many. I'm not absolutely sure about the Any Bull units but I believe you can substitute a cow for a bull on those units as well, but don't take my word on any of this, read the proclamation and then call a Division of Wild Resources Office to clarify which units you can take either sex, on a spike or open bull archery tag.
Someone else would need to advise you on muzzleloader elk hunts, that may also allow you to harvest a cow in lieu of a spike bull as well, again, you'd need to clarify with someone that studies the cow elk regulations more than I.
I know there are cow elk on the Beaver Unit, I've not hunted cows there but I have seen them, some years, near the 1-15 and 1-70 intersection, south of Cove Fort, beyond that I can't help you on either of the two units you've identified.
Best of luck, the MM folks will bust there butts to help you, if you are responsive and respectful. Ask when you have a question, be respectful, offer your experiences and opinions and be prepared to hear back for some of the nicest guys in the country as well as an equal number of not so much types, like me, and you'll find there is as much hunting, fishing and success in the outdoors as any place you have ever lived. Many of us moved here, from somewhere, at sometime in the past.
DC