People tend to think they need to install a wrapper like ASIO4ALL, for ASIO to work. If your device driver supports ASIO, and you have installed said driver, you should not need to install something like ASIO4ALL.
And, to be completely clear...
If your device does not have a well-behaved ASIO driver, you shouldn't be using ASIO4ALL in almost all circumstances (and essentially never with MC).
If you have a device with a nice ASIO driver (generally external DACs, Pro Audio devices, and other "higher-end" devices), then you should use that. This driver will be provided by the manufacturer of your audio device. Install the driver in Windows. Select ASIO mode in MC.
If you have a "regular" device, you should probably use WASAPI, unless you are on an old-decrepit OS like XP.
If you are on an old decrepit OS like XP, you should upgrade to Windows 7 (or 8 if it doesn't bother you).
If you can't for some reason, then maybe Kernel Streaming or ASIO4ALL (which are essentially the same thing) would be appropriate.