Here's a starter:
Code:
BREAK ON

 

For $i = 0 to 100

  "Random number between -1000 and 1000 = "+(((@TICKS+(@MSECS*2)) MOD 1001)*(1-2*(@TICKS MOD 2))+Execute("sleep (3.0+@TICKS MOD 11)/1000")) ?

Next


Because it is such a small set, this works surprisingly well.

The "Execute" is not strictly necessary, but it makes the code a single expression in keeping with the spirit of the challenge.

It's a bit of a cheat, but without a way of maintaining a seed I can't think how else it can be done.

Feel free to Golf it.