Looking at the Order of the Tome for Cavalier, they gain the ability "Powerful Knowledge." This ability allows a Cavalier to cast divine or arcane spells from scrolls as if they were a divine or arcane caster with a caster level of their cavalier level -4. So an 8th level Cavalier can cast any 2nd level or lower spell from an arcane spellcaster spell list.
This leads me to looking for ways to make the Cavalier more self-sufficient rather than relying on purchasing scrolls at market or having a fellow caster scribe scrolls for him. As near as I can tell, scribe-scroll is a nonstarter because even though I will have a caster level 4 at level 8, I don't have any spells "known." This means I cannot craft scrolls, as scrolls are spell completion items and you can't bypass the spell prerequisite on spell completion items.
But what if I took a single level of Wizard? This grants me access to a spellbook and spells "known." If I pay to have someone scribe a second level spell into my spellbook, can I then craft the scroll (since it is a "spell known" without having the ability to cast the spell as a wizard, or is there a rule I'm missing that disallows this?
If that won't work, is there another way a Cavalier could scribe scrolls for himself taking advantage of his full caster range with a small dip or specific feat selection? (up to 8th level scrolls at 20th level)