@l1a1son further, and it doesn't matter in your case since any distribution is going to be tax free for the rest of your life, but when you distribute from a Roth IRA, the IRS assumes that all contributions are distributed first, all conversion dollars are distributed 2nd and then and only then are the earnings distributed.
So while you asked about distributing your earnings, it may be you are technically distributing the conversion dollars because of the IRS priority order of distributions :-).
