Byoma. I don't rate the jelly cleanser but the milky oil is excellent. I bought the whole range on the back of the milky oil and it really impressed my teenage nieces when they saw it in the bathroom. The two blue serums are both really good. The moisturisers are fine-good but I'm old with dry skin so on young skin they would be perfect. It's the best all-rounder range I've ever found and I like the look of all the bright pots in my bathroom.
I like coats hydrating cleanser as my second cleanse but the packaging is not very exciting. Same for ceraveve, much like your daughter I like buying new, exciting stuff but I'm learning after 30 years that I've got to be a bit more discerning and balance function over form!
You say her skin is bumpy, is this on her face? If so, she's taken off her skin barrier so needs to take care. Has she got the la Roche posey b5 balm? It's pretty much a cult product for sorting any skin problems and I don't know anyone who hasn't become an avid repurchaser. It might be enough to combat the random purchases.
If it's bumpy skin on her body, a face wash with salicylic acid or even ordinary glycolic acid if you can trust her to not put it on her face will do it. The byoma yellow body lotion also helps.
Do you have any glam friends who are into skincare? Can they give her the same advice as you except she'll actually listen to them?
Or, if all that doesn't work, can you push her to be a bit more snobby about skincare and maybe Korean k-beauty. Beauty of Joseon is one brand I've heard good things about and looks very stylish