At the end of the day I'm going to work on this but there are two scenarios, one where my parents approve of my life decisions and one where they don't. Even though I might not always agree with them I think that even failed startup founders (for reasons you mentioned) are more likely to start more companies because they have gained valuable experience.
[edit] Thanks for the advice!
That said, if you feel that now is the most appropriate time for your product to launch (there is demand, the market is educated in the sector) and delaying that launch could/would open up room for a competitor or competitors to saturate the market, then try not to be afraid to stand by your belief that this is right for you, difficult though that can be.
IF all the stars have aligned, you are confident in your product and your team and you get accepted to YC, I'd say go for it. The experience is incomparable, and an education can always be completed later and/or elsewhere. Building your own company is extremely education, and having Paul and Sam and the whole YC as mentors is indescribably invaluable.
Good luck man!