I would use a series of Rigid Groups and then Joints to bring the part to the fixture (or vise versa if you fancy). Everything is going to need to be a Component for this to work, just so you're aware. End result:

As for "how do I pattern this across the fixture"? Well, are all the parts going to be oriented the same way, or are they going to be mirror or shifted from each other in some fashion?
If not, I'd just take the first step of positioning the part correctly for one, applying toolpaths and then using the Pattern function in the MFG space to produce toolpaths on any other piece of stock you have.

Just be aware; you're likely going to have to associate all your toolpaths, as the process of converting the Body to a Component will drop all selections from the Setup. Hard lesson to learn, sorry..
ALWAYS create components, or many Bodies nestled in one Component folder. Leaving things all at the top "Body" layer is a recipe for confusion and irritation.
Seth Madore
Customer Advocacy Manager - Manufacturing