Alternative to Sending Automated Emails using RStudio and Windows Task Scheduler. RStudio Connect?

I am looking for a better solution to something I am currently doing. We send out hundreds of emails a day using a combination of Windows Task Scheduler and r-scripts and the mailr package. Some issues we are running in to with this is if we try to send to many emails at once, our Microsoft Exchange Server cannot handle it and it errors out the r-script. Does anyone out there also encounter this problem, or does anyone have any better solutions? These emails that we send out are business critical so we still need to send them, but I am looking for a way to do this with some relief to our Exchange Server. Can RStudio Connect do this?