Actually QR does not negotiate on housing, you'll probably have to accept what they are offering you.

I'm not sure if they'll let you come for a look n see visit....but it will be a wise request and I'd really encourage you to ask them.

QR owns buildings all over Doha, you may or may not end up in an area of your liking.

There are several posts regarding QR, you might want to browse thru.