If I get you right, you use your chair as a desk. That chair is sitting on a normal desk, so combined the height is appropriate for working while standing. Right?
I have a MBP; I rest my wrists on the huge slabs under the keyboard which works absolutely fine. If you computer doesn't have that, then yes, I would make a real table on the table so I can rest my wrists.
When i'm writing stuff I'm usually replacing the laptop by a writing pad.