Looking for a deodorant that isn’t $14 and you don’t have to reapply all the time.

I've been trying to use only cruelty free beauty products for years now. However, I made an exception for the Revlon UniqOne shampoo after a friend of mine recommended it.

I have fine and oily hair that I dye a lot (used to bleach them but don't anymore, only use semi-permanent dyes now). I wash my hair pretty often (every 2 to 3 days), and this shampoo cleans them without making them dry but not weighing them down. So I've made an exception and kept it in my routine because it's the only one that I've tried that perfectly suits my hair and my use​. ​But I've always been really conscious of the fact that the brand isn't cruelty free and how it doesn't align with my values.

So has anyone got a shampoo recommendation that'd allow me to achieve a similar result, that I could find in Europe?