I'm one person who doesn't give up on prayer no matter the circumstance. All you have to know is you have the authority over satan.
God gave you authority to trample on snakes and scorpions and to overcome all the power of the enemy. Luke 10:19. He disarmed principalities and powers that were raged against us. Colosians 2:15. Your authority will only be effective if you speak it out. Remember, the word of God in your mouth is truth 1 kings 17:24.
NB. It is very dangerously to go into spiritual warfare without repenting your sins.