My Kenyan bank account is with Barclays, hence my example of a Swift BIC in my first post, I regularly transfer money from my UK bank to my Kenyan Barclays account. In fact I looked at one of the completed forms to confirm the info I was listing as I was writing that first post.
I can also confirm that you can transfer money from a Nationwide account to a Barclays Kenya account without an Iban number, that is the building society account I referred to above. I have done this as well, in fact I have done an online transfer from that account. Which obviously means their own software does not demand an ban