My favourite 3 hosts for Managed WordPress Hosting are:
(posting affiliate hyperlinks, thank you)
WPXHosting.com - Business plan ($21/m): No user visit limits, 5 sites, 100GB Bandwidth
VeeroTech.net - Startup plan (30/m): No user visit limits, Unmetered Bandwidth.
BigScoots.com - Starter plan (35/m): Soft limit - 250k user visits.
The limits of VeeroTech and BigScoots are listed on their sites. Try tech support of these hosts as well.