Lets say you go down to the minimum PPC of $0.05 from the $0.20 that you are paying. If you still keep the ratio of conversions you will be ahead of the game.
I am fresh off a graduate level statistic class and can't figure out how the heck to approach this with only 10 conversions.
One thing, I am certain... if one of those keywords converted more than 1 visitor, I suggest you increase the PPC for that one :)
You have a common, albeit difficult, direct mail analytical problem.
Segment your key phrases
You've got to aggregate your data to get a higher level view. You say you've got 1000 keyphrases, 10 of them with orders. You need to thematically cluster them to get them to fewer than 10 groups. You'll have to do business judgement to do this, and there may be multiple reasonable groupings (in which case, do them all), but this analysis should help you identify unprofitable themes -- or more conservatively, identify the ones that are most likely profitable.
Your economic structure is wrong
If, as you say, costs are double gross profit, then your initial economic calculations are way off. Potentially you're bidding too much. Or you're targeting keyphrases that are too marginal. Or your ads are too sexy -- you're not delivering what you promised (alternatively, your site is too lame and doesn't fulfill its promise)
BTW, don't get overconfident about those 10 terms that brought in sales. You're dealing with a huge error term that's making those 10 look vastly better than they really are.
If widgets are related to doodads, it makes sense to promote your widgets with doodad phrases, but remember to block all those off-target searches for "free doodads", "doodad clip art", "The Doodads mp3" etc.
If you haven't done so already, it's worthwhile to spend some time messing around with a suggestion tool looking for terms to block as well as to bid on.
Yes, you're in a situation where you have to pay to do some unprofitable marketing in order to find some new profitable targets.
BTW, when you do your forecasting of what will actually be profitable and should stay in the campaign, realize that there will be a big regression-to-the-mean effect that will cause your forecasts to be excessively optimistic.
So do the math backward to determine what sample size you need to get the 7. If you've accumulated half that, and you haven't got any positive actions, you're not going to hit 7 when you get the other half of the sample.