There is no way to tell what may happen to award ticket prices. They can go up or down or stay the same at any time. It depends in part on whether DL thinks it can sell all the seats.
If you search some creative routings you may be able to find even low awards, or medium awards on other routings.
It is also possible to put award tickets on hold for a limited period of time, so you may want to do that.
If you're working for a company, shouldn't they be covering your ticket?