Bundled products are indeed the most obvious direction to go in for making it easy for shoppers to purchase a bunch of individually stocked/inventoried together. You don't have to allow shoppers to edit quantities of individual simple products within the bundle. You can use the Drop-down or Radio Button option, and set the Default Quantity for a simple product within the bundle to "1" or whatever quantity you're including. Do not check the box that says User Defined. This will stop the shopper from being able to change the quantity of the simple product within the bundle.
If you do this, you'll have a set kit that includes the exact number of screws and other parts that the shopper needs as part of a specific repair kit.
Long story short, you can make a bundled product inflexible, much like a gift basket that comes with specific items. However, you'll still be able to track the inventory availability of the individual simple products in your store and stop shoppers from purchasing a bundle if items are out of stock.
From a technical perspective, I think this will meet your needs. Depending on your particular store, you may want to touch up how this is displayed on the frontend.
Best of luck!
