"I feel that without 'if' as in your latter suggestion, it's still conditional. What do you think?"
Conditional with "would", but not with "could". Also note that the omission of "if" is not the only change I made: I also replaced "came" with "come". That's essential.
"And I don't see anything wrong with the original, of course, otherwise, I would not have written it :) . What I mean is I don't see 'if' as a reason not to use 'could'."
I don't agree with you, so I think we should ask a more competent person ;)