I'm not sure how y'all are defining satchel. Hmm.
I gave up on totes or anything that has to be worn over one shoulder. They do not stay on my shoulder without I hold up that shoulder (which gives me migraines) or walk at a slant, and that's silly. For years I just went to handbags, and have a small but very nice selection of 40s and 50s bags.
Now I like bigger bags, so I use a larger one - what I would call a satchel - with a long cross-body strap. My favorite is from Modcloth last year; it has a top flap with a single short handle, so I can carry it over my arm if I want. It's faux leather but has held up wonderfully.
I still use my vintage bags for evening wear. I love the tiny 30s evening clutch with a strap across the back. I have a 30s040s black faille bag with a
kiss-clasp top with a single wide strap that goes across instead of side
to side. It holds plenty, too; my card case, phone, keys, mirror, and lipstick, plus more, including sometimes my camera.