my advice will be to hand over the car to a cargo company who can then send it by truck to qatar. First thing to do once you reach Qatar is to make a Third partu insrance with Gulf Insurance .There are agents for this in the Muroor. Car normally arrives in the industrial area . Take it directly for Inspection (in the sam earea ) and then take it for registration in Muroor.

Your Dubai DL can be easily converted to Qatari DL.
Of course everything needs company letters aand ID copy .

Dont attempt to drive the car thorogh Saudi with export plates . They can give you hell