A member of our travel clan will be staying at the Intercontinental and scheduled to depart at 7AM VIE to MAD with British via London on a Sunday. According to my research, trains start running at 5AM and therefore is a no, taxi is doable for the cost but she is not an experienced traveler and not good with logistics so early in the morning. Two of us will travel same day at 12:30 non stop with Iberia. We think that it is best if she sleeps at a budget hotel near the airport that will also have a shuttle. Is there a better plan? Any recommendation for hotels, please?