Activity suggestions for an active and happy Alzheimer's patient?

Hello. My mother is 68 yr old with early Alzheimer's. She was diagnosed 4 years ago and is in the "moderate" stage. Since the signs started showing (a few years before diagnosed date), her verbalization skills have decreased over time. She cannot complete sentences of even get them out. Her memory has faded as well but it's the verbalization that is the major debilitator. Her attitude though is wonderful. My mom is the sweetest and happiest person I know (god knows I would be crying every day if I was in her place). My issue is finding activities and things for her to do to stay active. She has a TON of energy. Goes to the gym with her caretaker 5 times a week. Sometimes girlfriends come over and take her out. But it's just not enough. She's always in front of the TV and she get's antsy. I've asked the caretaker to do activities with her but mom doesn't like games (and they are very simple). Reading is a challenge. They take walks and we give money every week for them go get coffee/lunches/movies. It's just not enough. My mom needs PURPOSE. She needs a "job", something to do to stay active. I've tried daycare but she doesn't like it. She didn't like being around the sick patients. The daycare worked so hard to accommodate us but she just wasn't happy. She likes to be around "normal" people, even though she cannot talk much, she enjoys it. I've been racking my brain to think of things she can do, like tasks at home or games to play. She never really had any hobbies. I would love to know if there are places she can go that give jobs to people who are in her condition. Not a real job of course, but stuffing envelopes or menial tasks. This would fill her days and give her something to look forward to. I would even give her a fake paycheck so she can get paid every week, I know she would love that. I just want my mom to be the happiest she can be and to see that she has the best life to live out her days. Any suggestions would be appreciate!