You are not alone with this....
Had a buddy in AZ that used to do this. After the second go around he would scoop out half of the grinds so he could put some "fresh" ones in...On Sundays he would dump it and start "fresh".
We have a Keurig as well. We use those refillable cups in it...
My Dad loved iced coffee. My mothers coffee was strong...beyond strong. My Dad would get home from work and pour it into a glass with some ice. Her coffee had an oil slick floating on it by the time he would get home from work...