Dricor - Subflor question
I have no experience with that particular product but with a product that was built with a similar concept.
Usually, when you buy a product and expect it to perform as advertised, you follow manufacturer's recommendations. If the product under performs they are liable. Other than that they will say it is your fault as you did not follow their recommendation.
The concept behind a product like Dricore, is that it is built to allow the moisture that seeps through the slab to evaporate into the basement. The surface is raised from the floor, which allows moisture and air to circulate, creating an insulation pocket as well. Your floors will be warmer to the touch.
When you add the vinyl which is in itself somewhat or completely impervious to water, you have a vapor barrier, in other words something that traps the moisture underneath, thus defeating the very purpose of installing something like the Dricore, unless all you are looking for is a slightly warmer walking surface.
To remove the vinyl and the adhesive more easily, buy a heavy duty orange oil based solvent, usually available in hardware stores by a number of brand names like Zenex and DeSolv-it Pro.