You can install (Tiny) Core on USB stick on Windows easily without burning a CD using core2usb, a dedicated installer. Its key features:
developed for (Tiny) Core Linux
compatible with version 4.x including 4.2
portable, no Windows installation needed
safe
adds WAITUSB=5 automatically to boot options
optionally creates /tce directory on USB
For more info, visit http://sourceforge.net/projects/core2usb/