Rosacea & acne safe cleanser recommendations?

Hello! I have rosacea and acne prone skin and I'm currently looking for a cleanser that won't irritate my skin or clog my pores. Preferably I want something with little to no exfoliating ingredients because most AHA/BHA's will flare up my rosacea. Also no salicylic acid please because that also flares up my rosacea. I'll try anything that isn't over $30!