The price volatility seems like a red herring. If you're using it as a currency then you're not holding it for significant periods of time and the entire point is to make it an automated process, so you're buying some cryptocurrency for cash and then immediately spending it. How much volatility do you really expect in the timespan of a fraction of a second?
Meanwhile the conversion shouldn't be a hard problem. You have a service that allows you to buy cryptocurrency with a credit card or bank transfer and then an app that uses that service to buy cryptocurrency and transfer it to a merchant that accepts cryptocurrency, and then any merchants being unfairly targeted by the payment networks can do that. And the cash to cryptocurrency service can be operated by a different party than the app so the former can't be assaulted for having the wrong customers and the later isn't directly interacting with the payment networks.
I suspect the real problem is this: The chargeback process for credit cards isn't compatible with anything where the merchant is delivering fungible goods to the customer that they can't feasibly recover if the customer was using a stolen card or issues a fraudulent chargeback, and cryptocurrency is one such thing. So then the service that allows you to buy cryptocurrency with a a credit card gets screwed, because customers issue a chargeback to them or use stolen cards on their service even though they actually provided the cryptocurrency as promised.
Which is a huge existing problem with the payments system. The payment networks dump the cost of fraud onto innocent merchants and then lose the incentive actually prevent it even though they're the only ones in a position to do it, e.g. by issuing chip cards that could be read by any ordinary PC/phone via open standards and therefore enable "card present" transactions to happen over the internet.
And then if you expect cryptocurrency to solve that problem, it can't do that on the side of the transaction where the cryptocurrency is the thing you're buying.