I am sorry that I can not suggest anything other than CA for a really quality finish. You could use friciton polish and other easy-applied finishes, but they do not match the finaly quality and durability of CA.
I know that it is hard if you are in a time hurry due to ordered pen, but perhaps give it another try with just CA.
If it helps, here is mine way ... Doe I use thin+medium+thick CA, I do only because I have thin and medium on stock; when this run out, I will use only thick CA (I have one by Craft-supplies brand)
I set the RPM to about 500*rpm (also nothing wrong with slower); fold a towel into thich and not widht piece (about 10 layers, widht up to 1 cm). With lathe turned off put 4 drops of thich CA on the towel and apply this amount to 1 (!!!) blank by rotating lathe by hand. When it is all over the blank, turn the lathe on and with quite a pressure go left and right with the towel (go slowly). Do not worry about paper grabing the blank, since the paper is alredy covered with CA and it is "sealed" againt grabbing. When you notice the CA starting to cure (do not worry, you feel it on the paper), just move the paper faster. Do not reduce the pressure on the towel, since this leads to smooth surface. When it is dry (about 15 seconds), you can stop and repeat the same procedure on the other blank. If there is some small (but really small) piece of towel stucked on the blank, do not worry. Somehow it disapires when next layer is applayed.
Do this about 3 times, wait a minute or use just a little of accelator and than sand with 220 or 320 sandpaper - this is just to smooth out the surface. When it is smooth, put on another 3 layers of thick CA (this goes even easyer then first three layers), wait at least 1 hour (the longer, the better) and sand with 320, 400 .... upt to 12000 MM. Final buff and you are there.
Doe it looks like a long process, it really is not. And smooth, 100 % cover top-surface is garantueed.
If you wish, give it a try. Just remember, the smoother surface you get when applaying CA, the less sanding is nessesry. Do not be afraid to press towel on the blank - but do not bend the mandrell rod, of course

You will soon have this kind of finish.
UPS .... quite long message. Good luck !!!!