What's the best country in the Middle East to start a career in broadcast journalism?

I think Qatar would be a great place to apply especially if you already have previous work experience.
For Broadcast Journalism and all the points you mentioned you might as well apply to Al-Jazeera Network.

سوريا هي البلد الافضل لدراسة الصحافة وممارسة المهنة بشكل عام .

I believe Qatar is an excellent option however you might also want to consider the UAE as there are so many places you can apply such as Sky News Arabia

I agree that Qatar offers the best working conditions for journalists, in the terms of payment, work environment, and above all it has already got the attention of the region and beyond.

Its NOT just about, which country in the Middle East offers the best broadcast media infrastructure.

You have to look at: media regulations, freedom of speech 

1) Media regulations,

2) Freedom of Press

3) Regulations on Citizen Journalism

4) Influx of talent and stories (counting them as one)

 

Based on that, Doha, Dubai and Cairo take the lead.

 

There is at least one media conglomerate operating in each of these cities that offers a great framework for broadcasting with great media mechanisms in place.

 

Any views on my answer?

 

 

 

All the countries in the Middle East are trying their best in terms of Surgery,but i think Pakistan are trying their best

EGYPT is the best one

UAE is the best country for Middle East and any body can make there carrier from UAE.

Each country has its own broadcast style or pattern, from which you can learn completely different things. Each media outfit can give you substantial learning experience if you want to.  To be choosy on which outfit to join may limit your opportunity to acquire a broader learning experience.