Non dairy formulas

My son is 9 months old and has recently started seeing an ENT for his chronic sinus drainage and ear infections. He got tubes placed, which has helped the fluid drain, but has not helped alleviate the cause of all the ear and nose drainage, so my doctor is wanting to start testing different things to find the cause. First up she wants to see if it's a dairy issue, so I have to switch formulas. I need recommendations on non milk based formulas that won't break the bank. We've been using Parents Choice Gentlease since birth, but I couldn't find a non milk based formula in that brand. The ones I found, like Nutramigen, were super expensive. Help please! I can't afford 40 bucks on a small can of formula that won't last a week...