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I say get a better battery, but you say you can get lead acid batteries for free? then first off make sure they are good so you don't have dead weight from a dead cell, a bad battery will add resistance to your string of cells and brring it all down.
2nd make sure that your voltage drop is not slowing you down, put a volt meter on your bike and check the readings as you accelerate, if your 36v pack is droping to 30v, then you need more capasity, this will bring your range up as well.
another thing is to keep your weight low, this will make the bike handle better.
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