Comparing the amount you paid for the player with the amount you'll have to pay for the remote is not reasonable.
Are you okay with a ten dollar player with no remote, or would you rather have a $30 player with a remote? Those are your choices.
You could even look at it this way: the convenience of a remote easily makes a BD player three times more valuable than a player with no remote.
A good answer is easier with a clear question giving the make and model of everything. "The biggest problem in communication is the illusion that it has taken place." -- G. “Bernie” Shaw