I believe you can submit two separate applications:
1) An application for a full priced license (either in the "regular full price" or "special" draw).
2) An application for the reduced price draw.
These two applications are independent of each other. However, on the "reduced price" draw, you can check a box that says "Withdraw if full price license is not drawn". If you check that, you won't end up with a doe license if you don't draw your "full price" tag.
I just went on-line and I have already submitted an application for the full priced draw and it will still let me also submit an application for a reduced priced tag.
Does that answer your question?