Can anyone help me work out how to get credit for a round trip I am about to do shortly for work. London - Dubai - Kuwait - London. Due to company policy I have to go 'cheap seats'. I am BA Silver, BMI Silver and also KLM, and Luthansa base memberships.

I should be able to get the corporate travel rottweilers to get me on BA part of the way but I can't see any decent airline/partners that does the Dubai to Kuwait flight that I can get any credit. Can anyone that knows this part of the world help. Thanks.