No, it wouldn't be double-dipping because all you are doing is reporting the incomes in Schedule C and Schedule F to determine the self-employment tax. Since the income from both is excludable income on form 2555, you will wish to exclude the net income generated by these two forms, just leaving the self-employment tax to be reported on the return.
The self-employment tax isn't calculated in the FEIE section thus you need to prepare a Schedule C and Schedule F to determine the self-employment tax and then exclude the net income generated by both schedules, leaving just the self-employment tax in the return.
@kruthika
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