This function and call might help you remove all layers of type 'TEXT'; (I've not tested it so be careful).
removeLayers( ArtLayer.TEXT, app.activeDocument );
/**
* @param {LayerKind} layerKind The kind/type of layer to filter
* @param {Document} psDocument The Photoshop document
*/
function removeLayers( layerKind, psDocument ) {
for ( var layer in psDocument.artLayers ) {
if ( layer.kind === layerKind ) {
layer.remove();
}
}
}