With archangels?! Wow, I’ve never even heard of that. My view on archangels is that they are too narrowly focussed on their particular aspect of reality – kind of their True Will – and so don’t do romantic relationships. However, I have only little personal experience with archangels, so this is mostly speculation and I’m willing to change my mind 
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A well-known book about archangels doesn’t mention them forming romantic relationships at all, let alone with humans. Conversely, a good source on Spirit Marriage doesn’t mention archangels, if I remember correctly.
It’s a different matter with guardian angels 
, as they are very close to their respective humans 
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There is a famous archangel encounter that is easy to interpret in a sexual way – the meeting of Gabriel and Mary. However, this might of course be myth…
Aside from all that, this forum is a great source on relationships with astral beings, so let’s see what folks will answer 
. Did you try the search too?