Hiring a car is fine - private driver also fine.

Driving is a little mad here at times but its fairly direct to get to Losail(lots of roundabouts).

If you are interested in a private driver I can give you ph numbers for a couple of drivers I use quite regularly - very relialbe, just need to call 30mins - an hour prior to pickup.

Enjoy Doha - it should be a good weekend (if you make it via Dubai)