I actually quite appreciate that there isn’t any romance in DoS. Which might sound off considering a lot of my DoS fanfic does revolve around various ships, but I’m relieved that canon DoS doesn’t.
My interpretation of Shikako in canon is also aromantic–though for shipping/fic writing purposes I tend to extend that to demi-romantic. Then again, considering how mild my writing expression of romance is, all of my shipping fic could be interpreted as queerplatonic? But I understand what you’re saying (my Trailblazer character Tetsuki is qpp with Ryohei Sasagawa) so let’s see…
I think Shikako and Ino are one step away from a canonical QPR… but it’s one of those “in a kinder world” sort of situation. Even without the oncoming war, both of them (or, at least, Ino does) have clan responsibilities, and I do think Ino is a romantic at heart. She would want a romantic relationship (not necessarily with Shikako, per se) and while I know QPRs aren’t incompatible with romantic relationships, that’s a lot of people to juggle since I do really quite like the triad of Sakura/Ino/Sai (which is at least 2/3 canonical for Naruto and could very well be completely canonical in DoS?)
Alternatively the only other character who I think Shikako is closest to a canonical QPR with is Sasuke. But the problem with that is I cannot help but headcanon that Sasuke is in love with Shikako most likely romantically. So while it’s platonic on Shikako’s end, it’s probably romantic on Sasuke’s, and I don’t think she’d be comfortable with deepening their friendship into a QPR for fear of breaking Sasuke’s heart by not being able to reciprocate his romantic feelings.
Who else… I don’t know. I would have considered Kiba before but not particularly recently and not more than Ino and Sasuke… Yeah. Those are the most canonical potential QPRs.