I'm the same size as you and could not find an LBS that had more than one bike in stick that fit me. If I had bike shopping to do all over again I would:

Drive further to go to larger shops
Ask them to determine what size bike I needed before we started talking about what model/features

Shops may offer to order a bike for you to try with no obligation to buy it so there may be some delay in your shopping.

Probably the most important thing for me was that I knew what I wanted in a bike. This ensured that I got what I wanted, not just what they had to sell me.

Happy shopping.