I came across a new wallet that supports BIP329. It's called
Cove Wallet. It's an open-source (allegedly) mobile bitcoin-only wallet that is currently in beta. There is a working iOS version, with an Android release planned in the future. Since it's still in beta mode, no one should deposit large sums of bitcoin into it.
The website mentions that it supports PSBTs and can work with airgapped hardware wallets like Jade and Coldcard. It supports QR codes & NFC, decoy wallets, a wipe PIN feature, and the already mentioned BIP329 labeling standard.