If you can find an ESR spec, you can estimate the maximum ripple current by assuming a power rating similar to a resistor of the same package size. So an ESR of 1 ohm in a 1/8 watt package can handle 350 milliamp RMS current. Ceramic capacitors have very low ESR, so this is rarely an issue.
If you are talking about a supply filtering, it is important to remember that the DC current 'flowing past' the capacitor into the load has no effect at all. You need to calculate the ripple current that actually flows through the capacitor. That is, during each cycle, the capacitor will charge and discharge a little bit. That charge/discharge cycle is the ripple current, and it is what is important for capacitor ratings.