欢迎 You pose some interesting questions. If the price of the competition is high, and you could take (for example) 20 private lessons instead of going to the competition, I think you make a pretty good case for taking more private lessons, and even trying to score an amateur partner where you can share the cost. One question I might ask you... do you think that if your dancing improves that you might have a better chance of getting an amateur partner? Also, have you considered taking an amateur partner that is not as good as you? Even if you don't keep this partner, it might be a good experience for you in working with someone else, and when you do find a good partner, you will better know what to do.