We switched to Intercom for sending our monthly email simply because its email editor is so good. I wish a proper email marketing service would come close to their simplicity, but I haven't seen anything yet. We might be moving back to Mailchimp soon because the per-user cost for Intercom has really skyrocketed since we've used them for email marketing. Granted, Intercom actually don't want people to use them for sending batch emails. I wish they'd come out with a standalone service for it—remain as dead-simple as their editor is now and they'd make a killing.
Have you considered Drift as an alternative to Intercom? I have a small SaaS app as well, and my Intercom bill is about $130 a month compared to $50 with Drift.
