I am sympathetic too that neither word is one I like to use - Hedonism is too foreign-sounding to me, and "calculus" is especially a problem - it rings of just the kind of logic or mathematics that Epicurus warned against. It also implies a Benthamite-sounding view that pleasure and pain are easily measured and quantified and can be evaluated by logical units.
I know not everyone agrees, but to me "Hedonic calculus" is a label that rings of just the same kind of stoic-perspective reinterpretation of Epicurus that can be such a misleading problem. I use it sometimes in certain settings but I don't think it is the best way to approach non specialists.