How about letting people choose their unit names; tbh I wonder what people would name them if they get the option to.
Anyways,getting a S-rank without beating any of the uta-hime fes's might be hard or next to impossible and one'd be pretty much guaranteed to not see a best end because of it, if the ending doesn't matter we have a possibility.
If we look at a certain list we'll see that if one gets 1 A and 4 S evaluations and beat 3 special fes's, one'd still get an A-rank, getting 5x S and no special fes's gives an S. Because there's not much documented on evaluations; how much would 4 or 5 fes's affect overall score etc.
Assuming one won't be able to beat more than 4 special fes's and not sure how this will affect one's score I'll go with the 5xS route.
I'm not sure if 1st playthrough gave you the option to do special live early in the game, so we'll scrap trying to get a super break on 1st song, not sure if you can do this with song 2 either. Also, I don't think you could select paid promotions at the beginning either.
With a blank file, I think it might be possible to get in the top 20 with your third song if one gets a superbreak.
During the early weeks one should try getting a specialised charm early on in the game and getting beter items along the way when you make money, trying to spend as little time as possible on shopping.
Assuming one spends the first 18-20 training on one stat to get image level 16, having Koshiba boost twice, one'd have approx 35 weeks left.
Getting a 60k highscore later on in the game should be possible and not using a continue should be easy enough by then; We'll have 3 S's then.
Harder would be to get 1st on the charts, but it's not impossible assuming one got in the top 20 with CD 3. The easiest way of getting 1st is by atempting a revive with CD4, or a break with CD 5 if one's been building up a good amount of fans and a good score.
Getting 5.5kk sales would also involve building up a lot of fans and a good highscore but it should be possible with your last 3 CD's.
When getting more fans one should try having Ariake or Yamahara boost up as often as possible.
tldr; probably possible but it'd be a pain