With this new offer, you're not declining housekeeping during your entire stay. They tell you that housekeeping would only come twice during your stay...or something like that. If you cannot wait in between visits, as someone mentioned, you can dump your dirty towels in the bin at the pool area.
Your family fills the garbage daily? wow. I rarely need mine filled during my entire trip. Then again you have a family, and im usually solo...I dont normally eat in the room and i have a refillable mug. So no trash really.

And I suppose my garbage gets full quicker on trips where my son joins me.