I have it set up for solo mining using ckpool and a wallet address from Exodus.
-snip-
So far, my Exodus wallet still shows 0 BTC and $0 value. Since I should have produced around 0.0000026 BTC or about $0.20 USD by now, why isn't it showing up on my Exodus wallet?
The first sentence in the quote is the answers to your question.
You've set it to a "
Solo Mining Pool" so you'll only get a payout once your miner hits a block.
Those calculator result is based from average of when you're not solo mining.