Originally Posted by MrCjolsen
Also, with fixed gear I don't use the rear brake any less than on my road bike.
I'm not entirely sure why you're riding a fixed gear if you use you rear brake as much as you would with a free wheel. A friend of mine had this set up and after riding it around for a bit I found the rear brake extremely disruptive to the whole fixed-gear experience; the sense of one-ness with the bike based on expending effort to stop, the feel of constant pedal pressure on my feet no matter what I was doing.
I submit, it might suit your riding style more to switch to a free wheel and keep both of your brakes.
As far as lever position goes: put your levers where you put your hands. If you spend most of your time up top, then put an inline lever up top. Else, keep your road brake, but consider moving it, adjusting your bars, changing your stem, so you can find a comfortable and safe position.