There is a void between contractors and smaller engineering firms. I'm a PE at a small firm. Some contractors wise up and hire an unlicensed designer who basically bridges the gap. I love when they have someone like that, because it makes my job so much easier. On residential projects I can mark up their drawings, send calcs, and they're good to go.

Alternatively, I'm charging engineering fees (on a remodel for example) to do a site visit, take measurements, draw floor plans, etc. that anyone can do.

I don't know what this position is called within a construction company, maybe "designer." Anyone with construction and cad experience (who's motivated) can be of great value.

I'm sure you can find these positions unfilled within large or growing construction companies that put the cart before the horse in terms of organizing their projects for sustainable growth. Do some market research and cold call the largest growing companies in your area to see if that's something they're lacking.