Hey, I think I met you on Facebook. Have you got good webmin, deliverability and other skills for this kind of hosting, or are you planning on paying for technical support?
There is a paid support page on phpList.org here https://www.phplist.org/paid-support/ - I guess how much would depend. Sending all those emails and getting them into the inbox and not being blacklisted as a spammer is not an easy thing.
I am not sure on the sending speeds etc, one of the other forum members will be best to deal with that.
That said, 10-11 days sounds like a very very long time to me though, what about if your campaign is time sensitive?
If you used phpList.com, where all of this is sorted out for you, sending should be done in a few hours with ease, though of course delivery takes longer for some subscribers becuase of grey-listing etc. But again, that is all managed for you. If you send one email a month to all 100k subscribers, that would be $180 will be 100,000, of you could send up to 1m mails for $300 a month. Let me know if you are interested and I will help you get set up