I'd recommend going with Warn too. They're the best winch company in the business, very reliable and they come with a good warranty. You're best to stay clear of their VR winches (they may be cheaper, but they're made in China and just aren't the same quality as their other products), but their Zeon 10-s should be exactly what you're looking for. It's rated for 10,000 lbs, comes with synthetic line, and it's even waterproof. The only catch is that it has a centred setup, so you need a bumper or winch mount that is designed for that.
I haven't heard of Badland before... it may not mean much but if they were any good I'd think they would be a bit better known. Smittybilt is junk though, so I'd strongly recommend against getting one of those.