Fixed wheel/single speed bikes are now pretty common, so you aren't stuck for choice. At 6'2 you'll still be within the height range for most brands, although at that height your weight might be a factor (e.g. I'm 6'1 and 14 stone and there are some marques I would break).
Most road-worthy bikes (i.e. not built for the track or polo or anything else) will come with two brakes - even if on a fixed you'll likely never use the rear.
I don't know of many brands which sell with tensioner installed as standard, but any half decent bike shop would be able to install them as part of a new bike purchase.
I would suggest that you try a flip-flop hub. I know you think you want a single speed, not fixed, but until you've tried it, at least keep the option open.
I would visit an actual physical shop and try some out, the geometry and setup for single speeds can feel a little different to a road bike, let alone to mountain bikes. You'll also want to feel the various types of handlebars (drops, flat, courier), which make a big difference.
When you're in the shop, discuss tools with them, if fixed is even an option, you'll want to get some instruction on lock rings and how to deal with them.
If you are completely new to single speed and are adamant you don't want fixed, perhaps look at hub gears (e.g. something with a Shimano Alfine hub). You'll get the advantage of a single rear cog, but the benefits of gears. Fixed is a different beast, but hub versus single speed is such a distinction that I can't see why people wouldn't take the gears.