I had some problems with my wrists last year and used just such a briefcase. The strap was long enough to go across my body, which helped distribute the weight a bit.
You could also look at "Tuff-bags" which are available through
www.getorganized.com.
If your company supplies your laptop, they might consider buying one of those new laptops that don't weigh much more than a kilo. I saw a very cheerful fire-engine red one the other day! My laptop weighs a ton, and a lighter one would be so much nicer.
Best wishes,
Raindance