It is highly NOT RECOMMENDED to use brainwallets. Humans are a horrendously low source of entropy. There are multiple research papers and programs that show that brainwallets are horribly insecure and easily cracked as what you think is a strong password probably is not a strong password.

BIP 38 paper wallets will not be particularly helpful here. It only protects against someone stealing your paper wallet and trying to get the keys. BIP 38 does not protect against someone just guessing the password you used to create your brainwallet.