Well obviously bamafan is trolling... nevermind.
Thanks for all the advice, it's helpful to hear non US perspectives. I've made an appointment with the head of the doctoral school in EuroUni next Thursday to discuss, and with UKUni in the 1st week of May. I think that an open hand is probably best, and hope that EuroUni will let me work as 'associate researcher' or student or whatever. I've also decided to submit where I get the money, no need to rock that boat. This decision was made largely on the back of this discussion.
That being said, a couple of responses: @wtncffts: I think good schools take graduate students to do good research, to train future academics, and to contribute to academia. Universities serve a public function - the operating concern certainly should not be relative reputations etc.
@Jung&Free: I would not be "taking the money and leaving scot free" I would be putting in the work, for three years. The choice is merely about which institution I would end up wearing a silly dress for and getting a piece of paper from. @Andean Pat: It's not theft! I would do the work, and, as mentioned previously, the money is not even coming from the uni (it's governmental). Money for research is for that, for research. Otherwise we would have to pay it back were we not to complete the PhD.
OK, well. Thanks again folks.