McBeck into McShep

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Hi guys, I'm asking this because I have been completely unable to find anything coming even close to what I'm asking so I understand if no one has any recs but I hope you can help all the same!

I'm looking for stories that are Carson/McKay or past Carson/McKay that turn into McShep. For example, a post-Sunday fiction in which John comforts Rodney and eventually they are together, or something where Carson and McKay realise tehy aren't meant for each other ane eventually Rodney falls for John.

I haven't seen much crossover with these two pairings, and while I don't generally read McBeck I would like to read it in this scenario. As long as its eventual McShep.

Thanks.