Bundle Kit will allow you to create your product without flagging it as a 'savings' bundle (although there is an option to override the sale price if you so choose).
Bundle Kit tracks the inventory levels of the bundle and the individual bundled items as they are sold in real-time to prevent overselling.
Additionally, Bundle Kit will list out the individual bundled item SKUs in the bundle order for your ease of fulfilment.
You can try the app for free at: https://apps.shopify.com/bundle-kit
Hope this helps!
Let me know if you have more questions.