Hi Weetabix, I had the technical inspection for the car done two times through a guy named Mr. Minto, his mobile is 55426970. He usually sends a driver to collect your car at an agreed day, time and place (both times they were super on time, very unlike Qatar) who will take the car through the inspection with Police papers and all, and who then returns it a couple hours later. Both times I asked them to collect my car at work which was no problem at all so you just go to work as usual whilst your car is undergoing the inspection :-) easy as that. Expect to pay around 400 QAR or something like that though, I forgot the exact amount. Hope this helps! Best regards Tina

Also, there is a guy advertising to be doing this service here on Qatarliving, however cannot comment on the reliability: