I would recommend trying one of those Brita filter bottles. They're inexpensive (think I spent $8), and the filter and cap can be put on a lighter bottle, like a reused disposable water bottle. If you get just the filter itself, it's even less, but my local stores don't carry the filters separately, and I don't think they come with the cap. Just put the filtered water from your Platypus in the bottle and then squeeze through the Brita charcoal filter when you want water to drink or for something else. If it still doesn't taste good, at least it didn't cost much.
_________________________
The journey is more important than the destination.