Roast your own. A decent bean is usually $4-5 a pound (less when bought in bulk) and lasts well over 6 months. If you drink a pound of coffee a week, the savings would return the initial cost of a roaster ($200-300) within two years.
A $20 blade grinder works just fine with a little care. You can pick up an additional filter screen for the press for a couple of bucks to compensate for the increase in grit.
Not sure why you think a press requires any additional cleanup than any other coffee maker, even the clover has to be wiped down and have the grounds removed. At the end of the day I have a dirty press and coffee mug which I simply rinse out and reuse while the water is boiling.