“Valeur” is by no means restrained to monetary value : asking the Wiktionary (in French), only its 4th sense is that of price, coming after the quality of something, nobility, and importance (interest).
The 7th sense (a rule of one's ideology) is also probably of interest for you (your question made me think of it at first).
Answering more directly your question, the English Wiktionary — aside from “value” — gives another sense to “valeur” : “valor”, i.e. bravery, courage. Again, not so monetary.
- Is there an alternative ?
Interestingly, the French Wiktionary for “value” first mentions “mérite”, before “valeur”.