I searched, and researched for a few months, wanting to stay under $250 like you. I finally got a Kodak DX7440 in July and I LOVE IT! The one thing I had been looking for that I didn't get was a camera that used AA batteries, but I'm so glad I got the one I did. An 2nd extra long life battery was only about $20, lasts FOREVER, unlike the constant changing of the rechargable AAs on my last digital. The screen is a big 2 inches (or 2.2?), can be quick, point and shoot, seconds from turning it on to first pic, and quick pic to pic shots too. It also has different modes you can choose (party indoors, action, fireworks, closeup, portrait etc) really easily. It's not the tiniest camera, I didn't want that--I'd misplace it! But it's still smallish, and has a good grip, so I can shoot one handed if I must. It has 4 mp, 4x optical zoom.........I can't recall where I got mine online.....try bwayphoto dot com to see it if you want.
Can you tell I love it?