There's very little text content for Google to rank.

Because of the nature of the site, I feel it would be extremely difficult to work enough text onto the site to ever really rank well in Google.

For example: Abstract Circle Cutout Necklace Set (+ Colors)

You would need a 200-500 word description of the product, which is not going to be easy at all.

Sorry. You're never going to rank well for anything other then your brand name. Maybe after years of getting natural links to the site.

Side note: Please fix the model cutouts on the index page, that looks really unprofessional. If you don't know how to do cutouts without the white line around the cutout then don't ever lap them.

Keep doing Social Media. Whatever traffic you get from search engines, great.

You should feel liberated, instead of thinking "I need to worry about Google" nope, just pretend it's not there and work on getting traffic other ways. Just make the site as user friendly as possible. If you can do descriptions, it's up to you.