M.B.
I also worked full-time when my kids were in diapers. I just used cloth diapers at home - in the evening and on weekends. That still saves on natural resources and I think it really helped my boys to very easily potty train since they can feel the wet in the cloth diapers. I also used the cloth training pants with my boys as the pullups still feel like diapers (my oldest was fully potty trained at 2 and my youngest by 3, including being dry at nite). I doubt you could find a daycare that would let you use cloth diapers, just from the sanitation perspective, it would not be something I'd want to do. It's manageable at home with a good diaper pail. I also used some liners (very thin) when I anticipated a BM - that made cleanup much easier.
You might also consider other ways you can save on landfill trash - using dish towels/clothes rather than paper towels, recycling everything you can (lots of churches and schools have bins for paper/cardboard), buying reusable shopping bags, minimizing purchases of highly packaged products such as takeout pizza, etc. By doing these things, my family of 3 barely fills our large trash can half full on a weekly basis, along with two recycle bins full of cans and bottles, whereas I see neighbors with 2 trash cans full and no recycle bin.