How to handle initial liquidity for a new token I’m going to release?

Im coming out with a new coin and am considering various aspects of the tokenomics. Right now the tokenomics I currently have are:

• Total Supply: 1,000,000,000
• Not doing an ICO
• Desired initial price: 0.00001
• Only way to get the token is to swap for it

The problem is, if I want the initial price to be that low, any purchases early in the life of the token will change the price significantly. The only thing I can think to do to counter this is to write a script that would automatically sell some of my own token to bring the price back down a bit.

I can't find anything online about this since Google keeps spitting basic articles with how liquidity works. Any thoughts for how I should deal with this or how other projects do deal with these things?