Testors Dullcote is a lacquer, not an enamel. Their enamel thinner probably won't cut it at the way. Testors sells their own lacquer thinner, but hardware store lacquer thinner would also work.
I'd try thinning it with lacquer thinner and then testing it on scrap over the paint you are using and enamel or lacquer paint.
Some other possibilites are that the dullcote could be on too thick, there could be too much flattening solute in the paint, or the lacquer could be attacking the acrylic paint.
The general rule is to apply lacquers first, enamels over lacquers, and acrylics over enamels.
There are all kinds of clear paints on the market if you want to try something else, but try them on a scrap model first.