Zoom F3 is the only thing I can recommend in your price range. If you can stretch your budget a bit, I would recommend an F6 instead.
Both options will require external power, however. I would not trust the internal batteries to get you 3 hours powering two mics with either recorder. If you get the F6, My recommendation is to use Sony L-mount style batteries that attach to the back.
One caveat with Zoom products that I recently discovered: they will not repair anything. My F6 suffered a short fall and two of the inputs were damaged. I had to spend $300 to replace the whole thing.
The other option I'd recommend is look for a used Sound Devices 702T or 744T, both of which could be had used around your price range. These are tanks and will last a very long time, and the company will repair them. I recently got a 788T-SSD and have been very happy with it.