yup, browsers that use their own engine do work without the webview - chromium-based browsers like cromite/droidchrome/thorium/whatever and firefox-based browsers like firefox/fennec/ironfox etc
Voyager with the Android theme enabled, it looks quite nice and feels more polished than other clients
I'd probably write down everything I should remember in a notepad and then use the 1024 bytes to store where the notepad is located