Our SaaS is in a different space but we're attacking the problem in a similar way. Our competitive edge in regards to pricing is all our competitors are thousand plus member orgs that come with all the bloated inefficiencies of an enterprise org.
We've identified that if we can produce a product that is 90% of what the competitors are doing and then charge at 30%, we can still make a killing because there are 10x fewer mouths to feed. Our main advantage in our space is that our customers "need" our software to run their business, so for them it's always going to be the cheapest option that gets the job done (ie. us).
We are also in a space that is similarly croweded and having a tough time being seen.