Due to the heavy email traffice of an Email Marketing software, you will not be able to host the software at any of shared hosting plans.
The only options you can consider is to get your own dedicated server or VPS.

Here at Netonboard, we give you the lowest, and most cost-effective server hosting solution which is to go for our Virtual Dedicated Server Plans. 
Check out the plans at http://www.netonboard.com/hostingsolutions/virtual-dedi-svr.shtml