Of course, a lot depends on what you want out of email marketing as there are differences in the feature set of the major platforms.
Price wise, you can get LTD offers on platforms on services like Appsumo. Sendinblue recently featured on there for example.
If you are sending cold email, you should look at service providers such as mailshake who specialise in this area. Lemlist and mailrush are also players in this field.
Bear in mind that sending large volumes of email to unknown recipients is also very likely to get you banned by delivery providers like Gmail. This is why companies like mailchimp are fussy about the validity of your lists.