LVT (Luxury Vinyl Tile), WPC (Wood Plastic Composite), and Solid Core all fall into the category of "vinyl flooring." These vinyl flooring types can be rated for floor heating, but the application will completely depend on the manufacturer's guidelines.
Please look in the installation manual and warranty documents of the LVT, WPC, and Solid Core flooring product that you are interested in to see if and what types of heating are allowed.
As for a list of manufacturers of LVT, WPC, and Solid Core products providing a warranty for their products with radiant heat -- many do provide a warranty for their products when properly installed with floor heating. The list of these is ever-changing, so please be sure to check with the flooring manufacturer for current recommendations.