So, now it's confirmed it is 'Friends' as on TV, we're here. But the thing is, all her other clues have only had one letter as the possible answer (I think?). So, to have four possibilities seems unlikely. Is there a different way of looking at this to narrow it down?
ANGNEU - do you know what order they're coming in, or how many more?
PS - the grammar police will tell you that it should be 'Whom do I love the most' - but I wouldn't point it out, or you might not get your trip at all....
I think we need more clues other than just those from your wife. Such as, when's your birthday? - If it might be an event rather than a holiday - we can start scouring the 'What's On'. Anywhere you have specifically wanted to go/avoid?
Can you get out of her how many clues there will be??