My hosting allow to send 500 e-mails per hour.
I have about 1000 subscribers.
By PHP I filteringed system the e-mails addresses and team them by mail server.
Is it possible for you to split listing into 2 parts? Lets say half and half and send it in two different hours. Uncertain about your specific situation since you didn't state which server and which software you make use of to send it. Generally speaking, most SMTP servers have the ability to re-try and resend the message multiple times so if it didn't undergo when, then it will re-try once more for time till it gives up. Even if it fails for an hour, if you don't deliver anything else it might succeed at the following hour.
get a few VPS together and send