IMO ...
There are recurves, r/d hybrid longbows, and reflex and/or straight longbows. Every bow type, and different bows within a type category, will shoot a bit different, but I've never found those differences to be at all radically different. They're all just stickbows.
Overall, most well designed recurves will have an arrow speed advantage. It's my opinion that recurves are very "lively" stickbows, due to the highly curved limb tips and wider limbs, and that can reduce the bow's overall stability. They tend to be noisy bows due to limb slap on release.
Hill style straight/reflex limbed longbows on the average are lots slower in arrow speed but more stable than a recurve, have narrower and longer limbs, and the lack of limb slap is an advantage.
I prefer r/d hybrid longbows - the limb design greatly adds to arrow speed (some are right up there with the best of recurves), are more effective in a shorter length that compares well to a recurve, they have narrow limbs and tend to be more stable than a recurve, and no limb slap noise.
The handle/grip on any of the above bow styles isn't an issue, since any shape can be created into any riser. One of my earliest longbows was an early 60's Herter Itasca - 70" long, 53#, dead straight limbs, with a recurve pistol grip. :D