Well Faeelin thought of a US-German Special relationship in his Stresemann TL, but apaprently he has discarded the idea in favour of earlier European integration. It could work in any "No WW2" scenario, though: Both Weimar Germany and the USA are somewhat anti-colonialist (the one less, the other more so). Hence its possible that Germany estranges itself from a rest of Europe (GB, France, Spain, Italy, Portugal, Netherlands) that frantically tries to keep their respective Empires together - as decolonsiation and moves towards that will come no matter what. And such a Germany would probably end up with close relatopnships to the USA, which in turn will be estranged from the UK.
And considering the UK and France were the largest colonial powers, youd get both a Franco-British and an US-German special relationship.
OT, this weirds me out more with Imperial Russian officers back in the day. It's like, are you sure you didn't mean to say Prussian?(I still find it bizarre that if you look through a list of WW2 generals, half of the ones with obviously German names seem to be American).
A U.S.-German one is also conceivable, probably helped along if the US was (even more) dominant among the allied forces stationed in Germany, given the old cultural ties (I still find it bizarre that if you look through a list of WW2 generals, half of the ones with obviously German names seem to be American).
Even today Germans are the single largest self-reported ethnic group in the US in 2000, so I would say that one is very doable. The only problem is that the reason that many left was to get away from wars and political or religious oppression, so maybe not a great way to start a special relationship.
I should have specified this as "Post WW2", basically alternatives to the fairly close Franco/German and Anglo/American relationships of OTL.