Not that I've found if you've already changed the password, because this would be an individual account change, and in order to do that you have to be in the account which you will not be able to do with a correct password. I'm not sure what your reluctance is to deleting the account and setting it up again? You should loose nothing except maybe drafts that you haven't sent and possibly items that show up in your sent from device folder. However a good back up program, such as MyBackUp Pro or Astro File Manager, may save these and allow you to restore them once you've setup the account again, if they don't automatically sync once the account is set up again. After all you're just changing the password essentially, and not uninstalling the app.
Of course you should set up your accounts to save everything on the server to avoid low memory errors on the phone, this would eliminate the possibility of loss due to phone issues and factory resets, and you may not have any of these type files anyway. In which case this is all moot. There are a ton of good threads on setting up email on every forum.