I find it can be helpful to have the rules page open in a browser during the contest in case I need to check something, and you also have the submission page/email handy at the end. So just send it now!
Sending the log before you close also means that if there is a problem you can take care of it while the contest is fresh.
Send it now even if you have a pile of typing error notes to fix and you want to sleep now. You can send it again later.
Sending a flawed log and fixing it later is better than sending in no log at all. Send it now!