I get everything done with my daughter in the sling. Maybe try different positions (back carry?) if you have trouble doing the things you need to do.
Are you always trying to put her down in the same place? For example, my daughter hates being flat on her back, but will tolerate being in a bouncy recliner or swing for at least a few minutes… good enough to make a sandwich for lunch or empty the dishwasher, etc. She doesn't have to be asleep to give a little bit of time.
It's such a personal decision, but I can't just let mine cry. I figure I won't be on my deathbed saying, "I wish I hadn't held my daughter so much," even if some days I feel a bit crazy. That said, a sane mother is better than an insane one, and if you've tried everything else, you have to do what you have to do!