You can also rack it onto your choice of fruit after a couple of months. I don't know how traditionally lambic this technique is, but it's what Russian River and Cascade do, and they make some kick-ass, fruit-flavored-but-not-grossly-sweet beers.
I would keep it. Throw it in a glass Carboy and forget about it for a year. Then keg and share with friends or your local homebrew club. Or bottle and send off to a competition. After 4 weeks you can blend with fruit or a fruit purée. Raspberry Lambic is pretty good stuff, even if you don't like straight Lambic.
You can certainly rack it onto fruit, but I would let it develop on it's own and see if you like it. If you don't you can always put it on fruit. It will wake back up. Probably get sick again, and then turn into something different.