Welcome again Elvi!

Evander Darrow (ignore the current av, he's not himself right now!) wants to be Ned's best friend, please. They are v similar in personality and reliable-but-not-super-successful Ministry men and Evander understands having disappointing/scandalous family because his brother is a famous sailor who was lost on an expedition, and came back from the dead (also as a rumoured cannibal). Also Evander works in Improper Use of Magic so I can see some departmental co-operation from time to time when Muggles are involved.

Trystan Selwyn is also in the Ministry and a former Gryffindor, a few years younger, but in personality he is much more like Ned's brother and has a few rumoured bastards (and one acknowledged bastard daughter!) so I'm not sure how they'd get on. xD

Ewart Fraser is a local eccentric at the Ministry, not so much a by-the-books person though so they might be friendly or not, either way. xD

Ester Montgomery (again, ignore the current avatar) was once a respectable MC wife and mother until she ran away with a pornographer and started modelling and living in the seedy underbelly of London and has a very poor reputation now. She might have come across his brother or his former wife, I'm sure she could make him uncomfortable somehow xD