You might want to apply for a draw license for some unit that is not too tough, and if you fail to draw you will get a preference point and can check the box to have them send you an OTC license. Check the draw odds at their website for easy units.
http://wildlife.state.co.us/Pages/Home.aspx
Be advised that there is a good reason that some units are easy draws (difficult access, etc.). All of the open units that I have ever seen have been a real zoo, with an orange coat on every ridge.