I completely understand about your frustration with the bottle and pump part washing. I'm a working nursing mom for 7 months. My LO had to be retrained to take the bottle at 3 months. At the same time, I have excess lipase in my breast milk. I have to heat inactivate the milk right after pumping. So, consider yourself lucky to have a 20 minute pumping session compared to my 45 minute session twice a day.
Breastmilk should be the main source of nutrition for the first year. Solids are to supplement and not replace feeding sessions. In my opinion, it would still be beneficial to your baby to continue the bottles at daycare. Maybe suggest different ways to give the bottle like change feeding positions, rock or swing, change rooms, play music, sing, etc.
Sounds like your LO maybe be getting alot of interrruptions during the night. She could be reverse cycling where at night she is nursing for your company and for hunger while holding out at daycare. I am an advocate for consolidated night sleep. If you ahve a happy, well rested baby, then do what is working for your LO.
You can place breast milk in the sippy cup also. She may gain new interest in milk during the day.
9 months is a long time. You're doing a great job. Babies transition into sippy cups during this time. So, you're almost bottle-free. Just hang in there. I'll be counting down the days with you.