A. Do you know when he usually sends the money?
B. I can't tell when he usually returns.
Are both fine. However there are some implications in the words which might not be clear to you.
A. Do you know when he usually sends the money?
"Sends" implies the transfer is being made indirectly, as perhaps through the mail. Money (actual currency) isn't typically sent indirectly. Rather you make a "payment." (eg check, money order or credit card authorization).
B. I can't tell when he usually returns.
The implication is that for some reason that you are restricted from telling. You just don't know, or there is a company policy that you can't divulge that information. If you say "I won't tell when he usually returns" then you know, but you will not tell.