Being someone who loves longbows, but shoots Recurves better, I'll offer you this. I believe the physical weight of the bow has as much bearing on the suitability as any other factor. If it's a trad long bow, ie Hill bow or ASL it's going to be light.
So twitchy may mean it's short, or it may mean it's too light. I've had a couple of Toelke Super D's, and some custom ASL's that are fantastic bows, but they are very light. I found this detrimental to my accuracy.
I lean towards R/D longbows with either phenolic in the Riser, or hybrid styles that have wider, flatter limbs and more mass in the Riser than traditional ASL's. You also get centre shot shelves on a lot of bows of this style.
Dependant on your budget, and particularly if you're coming from Recurves, I'd recommend either the Tomohawk longbows or a Black Widow PL.
Take this with a grain of salt, it's just my opinion and experiences.
Good luck with you're search.
Cheers, Scott.