That is tough... We were in the same situation, but we plan to buy a house. My partner is already there, but not in a place that we both could live. So we were finally able to get a 6 month contract on a place, and that was still pulling nails. Furnished flats are getting less and less common these days.
We did find that local agents in the area you are looking are the best resources. Foxton's and some of the bigger letting agents were just useless and most of the places were overpriced. We were looking in SW2/SW12 and found a great little place with a wonderful landlord who is happy with us for 6 months while we are looking for a house and is suppling us with kitchen wares as well, all through a local agent.
I would talk your brother into going to the highstreet in your ideal area and pop into the local agents and get some cards so you can contact them and find out what they've got.
Personally really short term lets like 1 month are going to be so expensive and so much hassle with references, etc...