I have no particular input to make in re: breeds -- except that the Ameraucanas may lay later than you might expect from your experience with Barred Rocks -- but I would like to suggest that you start with several males with the intent to choose the best of a batch rather than being stuck with the one and only.
When I got my Blue Australorps from Welp, I ordered a group of pullets and a group of straight run, ending up with 5 cockerels to compare to each other.
Of these, one was an obvious no-go -- lanky, gangly, and generally such poor type that you would never have known he was an Australorp at all. (Imagine if he'd been my only male!)
Two were fairly ordinary and two were well above average.
Of the latter, the best is now my avatar.
There are all sorts of things you might value in your male, who is half the flock going forward, so it makes sense to have several candidates to choose from.