Pulling off new blossoms will do nothing to speed up ripening of existing peppers. It will leave the plant more energy for existing smaller peppers to grow to a larger size, but once they reach their final size it is existing enzymes in the pod not finite plant energy that cause them to ripen. Even so, more energy for existing smaller peppers to grow is still a good thing!
If you want to increase ripening rate, put them in an uncoated paper sack with some mostly ripe fruit, as the fruit outgassing of ethylene gas will speed that up, you want to trap the gas somewhat but not the water vapor they give off as they sit.
Also keep them warmer, nearer to room temperature than to freezing. Fruits high in ethylene production include apples, pears, passionfruit, apricot, nectarine, peach mango, avocado, banana, cantaloupe, etc., although others like tomatoes also give some off. Don't pack them too densely in the sack or they may mold faster. 1 to 2 layers deep is better than a little sack stuffed with a lot.