Hello @bexpaints ,
1) If you want to just hide price in product single page for specific product then you can proceed with alternate templates. You have to just hide/remove the price code from alternate template. More you can check here about it https://shopify.dev/tutorials/customize-theme-create-alternate-templates.
2) If you are looking to hide price for specific product in all over store I mean in frontpage product in collection in search etc. then you have to move with 'tag' concept.
logic is you have to assign a specific tag with those product whose price you want to hide. And after that with the loop you have to check for that tag and if tag found hide the price else remain visible.
I hope it will gives you idea.