How can I get a pure white background in jewelry photography, without losing sparkle and shine?

I've read through several threads similar to this, but I'm looking for a comparison of two options here.

I currently take photos on a raised glass platform against a white foam board background and run about 300w of lights (3 100x LEDs @ 5000k, Home Depot Specials in softboxes and umbrellas). As you can imagine, it takes me about 15 minutes of post processing to achieve a perfect white background, and sometimes I have a particular photo that I am unable to get there.

I want to upgrade to either a photography table with a translucent background that I can place a speedlight under, or a cyclorama infinity background such as the MyStudio MS20. The latter option may require an upgrade to my lighting, which I am planning to do anyways.

The idea of course is to get a blown out 255 background with no post processing, other than color correction on the jewelry or product as needed. This would cut my time after the shoot to a ridiculously small amount of time.

Which option would make my life easier?

For reference, I currently use a D5300 with a Tamron 90mm f2.8 macro lens.

This is the best shot I got after quite a lot of effort, before and after processing:

Note that the silver is not shiny like it should be, and the sparkle on the gems is lost.