They surpassed the previous record of 263-5, set by Royal Challengers Bangalore in 2013
The hosts beat Nepal 6-3 after netting four times in a commanding first-half display in the quarter-finals of the fourth edition of the tournament at Mirpur Indoor Stadium on Tuesday.
Hridoy hit the target thrice, Shohag twice and Arafat scored the other to secure Bangladesh's best showing in the competition, eclipsing the previous best of seventh position.
Bangladesh stormed into the quarterfinals by demolishing Chinese Taipei 12-1.