Bulk 200K Email Blast Platform

I need a cost-effective way to send a single promotional offer to about 200,000 recipients. The contact list is fully prepared and permission-based; what I’m missing is an affordable platform (or access to yours) that can handle the volume without throttling, blacklisting, or surprise fees... (Budget: $30 - $250 USD, Jobs: Bulk Marketing, Email Campaign, Email Developer, Email Handling, Email Marketing, PHP)