If you come here as a trourist you will get a tourist or transit visa... following options will help you:
1) Look for a any tourist company who will arrange hotel and flight and they will also provide assistance in getting tourist or transit visa

2) Book a hotel for 3 night in Doha Qatar thru online, most cases hotel will arrange transit visa .. search the hotels on Qatarliving thru search option or any other trusted website you can find info...

3) Also try with Qatar Airways most cases they provide transit visa if travel from Qatar Airways but subject to their terms and conditions ... ( I don't know if they fly from Iraq ??) or you can use connecting flight incase.