Welcome to TE!

I would recommend at least trying other bikes at other shops. If you end up buying from the far-away shops, after your free tune-up, you can just bring the bike back to your local shop for service. It's okay. They understand.
I'd call around to see if they have built-up bikes on the small end for you to try first, because it may be hard for you to find something on the floor, given your height.
If you don't find anything that makes your heart sing, go for the Secteur. Or keep looking.