We also just use bandana bibs and try to change them as best as we can so we can avoid outfit changes. These are a little pricey but they do absorb REALLY well. Diaper Squad 100% Organic Cotton Earthy Solid 10-Pack Baby Drool Bandana Bibs for Boys and Girls, Plain Colors https://a.co/d/eUC7CXj
I rarely notice the spit up making it through. And they tuck nicely under the chin.
I vouch for above mentioned brand of bibs. Works great for us
Idk how well they work but maybe teething bibs? I just picked these up because they were really cute. They don't have plastic on the back but they do say water resistant. https://www.target.com/p/carter-39-s-just-one-you-174-baby-3pk-lemon-38-strawberry-bib-yellow-pink/-/A-86989188