[Mithalwen]

But it doesn't make sense relative to the journey they have already made...It doubles it. Yes they are interested in Balin but it isn't their top priority. Dain took 500 warriors to the Battle of the five armies. There were probably more left in the Iron Hills but some would have been killed in the Bo5A . We know that some had decamped to Moria and Dwarves are slow breeders so Dain doesn't have that much manpower to spare on a non vital errand especially through such dangerous territory.

I don't see what the Moria colony could have brought to the table to use albeit appropriate management speak. It would just have been a complete waste of time and resources merely to satisfy curiosity. Dain surely knew Bilbo was at Rivendell. In fact Gloin says he was sent to warn Bilbo. If you go to warn someone you do not take a detour for a fact finding mission especially if it will take you twice as long... and we are talking extra weeks not another hour or day. We don't know that Gimli and Gloin travelled alone, in fact they probably didn't since otherwise Gimli might not have left his father to travel alone . Dain would have had to send a larger party to Moria since the route was more dangerous and he must expect danger at its end.. I don't believe it was a logical option to waste warriors on what he must have guessed would be a wild goose chase, especially when they could not return in time. Even if he had sent them after the first messenger visit I don't think it would be a sensible use of slender resources.