No problem with bisque firing the piece again....I do a lot of underglaze work covered with a clear glaze. Although you can certainly apply the underglaze directly on the greenware, I often find that bisque firing the piece first makes it easier to work on, depending on what form it is. Anyway, a second (or even more) bisque firing will not cause any problems and will prevent any smearing or bleeding when you apply the glaze. I prefer to dip my pieces into the clear glaze, and if the platter is too large to fit into the bucket, pour the glaze into a container large enough to handle it. Most of us keep some large containers or basins in our studio just for that purpose.