For 3 people, you really want at least a 17' boat. I would go aluminum because you can get a whole lot of aluminum boat for 10k. Get an all welded boat (no rivets to leak) and one with no wood in the transom. Get one with a real, plumbed livewell. Even if your catch goes straight to the cooler, you can use it to keep bait alive. Most any aluminum bass boat style hull will come with a depthfinder and trolling motor already on it, but hold back $200-$300 for new batteries.
Focus on the motor. You can easily rebuild an aluminum boat however you want it, but if the motor isn't reliable, you will never enjoy it. Don't buy without a test drive, and have a good boat mechanic check the lower unit, compression, etc before any money changes hands.