Does increasing the buffer size in the "Output" options page help?
Also, do you have the "Always use preferred driver buffer size" option enabled in the ASIO options page, and does toggling that help?
Have it ticked and toggling does not help.
To see if it may be something specific to the ASIO driver, is ASIO output from other software affected by the CPU intensive stuff too?
I tried ASIO4ALL (default settings) and there's no problem with that.