Hybrid should be able to do what you want, but I've built an app with pretty much the same requirements that you outlined below, and based on first hand experience, i can say that the UX absolutely sucked.
Every tap on the screen would take a fraction of a second to register. For simple tasks it was not noticable, but when doing things like scrolling though a list of pictures, the experience was a disaster.
Check out apps like xero accounting, snappette, iwishfor. These are hybrid apps. And then compare then to native ones like instagram, tumblr, and you'll quickly know the difference.