If you keep your records correctly, you don't need to worry about whether you got a 1099 or not. You don't need the 1099 to file your return; all you need is your total income and breakdown of your expenses.
Yes, on the tax software they ask for the 1099's and you can input them if you want. But all that gets transmitted to the IRS is the total income. They compare the total income you report to the total income reported on 1099's and w-2's. As long as A is equal to or greater than B, they're happy. they don't care how you get to the figure you report. If you get audited, they will look at details.
In other words, you don't have to wait until you have all your 1099's to file your return. Keep your records as you go. The only time there might be a problem is if they put something on a 2014 1099 that you didn't actually receive until 2015. You don't have to declare it unless you had access to the money in 2014. I got a letter from them once when a 1099 included a check they had issued on December 31 but I didn't receive until january 5. I simply explained the discrepancy and said the missing amount would be reported on the following year's return and that was the end of it.
Time to build a bigger bridge.