I think that actually increases your exposure, as a monthly snapshot will likely be as good as any other month's snapshot and just as damaging (or not) if it got out. If all providers sell your data, that means that purchasers of aggregated data will always have up to the date info anyhow.

I would say the "better" solution would be to find a provider with a good reputation and stick with them, and leave them in a heartbeat if it appears that they've sold your data. It gives them an incentive to continue behaving well through referrals and recurring revenue.