I think it is best to not restrict yourself when you have low hours. You need to be applying to any airline where you stand a chance of getting a job. If that includes 'big' airlines then don't not consider them. If you get lucky then great.
Do not, however just keep blasting CVs and making a pain of yourself
until they got sick of me!
as that is a sure fire way to get no further when the recruitment door eventually opens with that airline.
PP