First of all check which city your hotel is located in. If in Dubai, you're out of luck. In Doha, you should be able to make arrangements with a private car/driver to drop you off and pick you up. If necessary, I have thename and number of a reliable network PM me.

If you don't know where you're going and you're not used to the driving "standard" (and I use the term loosely) in Qatar, your best bet is to get a driver/car.
Signature line > "You can't fix stupid"