Ah, I was thinking in-word and ruled out English automatically for that reason, but it seems what you're being asked to do is over multiple words. In that case just think of words that end with 't' and start with 'sh' but belong to different words.
For instance, in the sentence the cat should eat, if you turned the sequence of [t] and [ʃ] into [tʃ] (when together in the same unit this has the same effect as the tie bar over the symbol to indicate double articulation). How would it sound if there was double articulation? Well, maybe for some people there would be a minimal pair. Probably, amongst all the Englishes we have in the world.
For me, though, that's not a minimal pair and I think I'd be more likely to use [tʃ] and coarticulate those segments anyway. I can't think of any minimal pair between these two phonetic varieties but I'm from a place where affrication has become very embedded in these sorts of clusters.