This is an important conversation so thank you for bringing it up. As far as I know the security concerns around browser extensions primarily come from fake extensions being listed in the stores that impersonate real ones to steal keys. As long as you are careful to only install and use the legitimate version at the link i shared above there should be no security concern.
I think the fact that Metamask has been widely used for storing Ethereum private keys for a long time now shows that browser extensions can be a secure and user-friendly way to transact on blockchains, and we have built Steem Keychain to work as similarly to Metamask as possible.