the search term is "cross stop".
Wiggle do 'em and I've (retro-)fitted them on my tourer -a Thorn off-road drophandlebar thing, having seen them on cyclo cross bikes
http://www.wiggle.co.uk/cane-creek-crosstop-brake-levers/
I think this may have been the very model - something like them anyway
They work well, especially off-road where you want to be sitting upright a bit more. Less necessary or valuable on-road in my view, and I've not bothered on my other bike. I'd choose the bike itself, and not be unduly concerned if these are original equipment or not as they are easy to add.
Regarding drops - my 2nd bike had them (>35 years ago) and I'd never go back to flats. My Thorn off-road tourer has drops too. Flats are fine if you don't mind only one hand position, will never cycle into a headwind, uphill, and don't mind more work to go slower ! Bike needs to be set up right and be comfy for you though, as with any arrangement. I've you've a bad back, then the story might or might not be different.
I am a great believer in full mudguards and rack. I don't like rucksack on bike at all, and I don't like looking like I've had an attack of explosive dysentery coating my arse, up my back to the top of my head - but mudguards are not "cool" apparently. A drop bar tourer / audax, cross-bike or even proper road bike should be fine on most canal path type tracks and be a good better on tarmac than a mountain bike or hybrid. One advantage of hybrids is that they tend to have lower gears than proper road bikes - the latter tending to be rather too high for normal people, especially the so called "compact double" - which I'm unconvinced by. This isn't a necessary part of hybrid or road bike - but sadly reflects what is now sold.