I was reading an article the other day that said that interrupts are among the slowest instructions. I am searching for another way to write to the screen without using DOS. I have been looking into using stosw to access screen memory, but I haven't been able to figure it out yet. Any help would be greatly appreciated. Thanks.

For which platform? DOS, Win32, linux, ... ?

For DOS, use VESA and get hold of the linear framebuffer.
For win32, use DirectX
For linux... get a better OS ;P, or use svgalib, SDL, PTC, X, or the framebuffer stuff

http://burks.brighton.ac.uk/burks/language/asm/asmtut/asm8.htm has some sample programs which show various ways of writing to the screen. They're not written for FASM, but should be easy to port.

Thank You all for your help