Though it is possible for non-TITAN accounts ..
What do you mean the "Bitshares actual BlockExplorer"?
In BE that you have in your signature, there is no information about an account balances. So I am looking for a BE that would give me information about account balances. Is that possible or not because of TITAN?
Not possible because of TITAN.
May I know how? Sometimes, I don't want to open my wallet (may be my wallet-equipped computer is not besides me) but I want to check my BTS balance or check/confirm if someone sent BTS to me. In addition, may I know how to determine my account is TITAN or non-TITAN? I cannot find out such information, as I am looking for it for a while.