Starting to implement basic websites is not very expensive these days. You also have the downloadable version of the program which, even if it appears that it hasn't been updated in the past 12 years, should serve as a basic template for what the web version should be doing, at least to start.
If you have been successful in selling the downloadable version, than you should have plenty of user testimonials that are going to be applicable to the web version as well. (If you haven't been, then analyzing why and making sure those reasons are eliminated first is of course fundamental.)
At your local university it should be possible to find the web front end, back end and design talent that you need, and you can decide if you want to put the project in open source on GitHub, or keep it proprietary. In either case, the talent's compensation in cash or equity can follow different models. (A good approach for dynamic equity allocation in startups is http://www.slicethepie.com/)
It is also possible to structure the development entirely online with a distributed team, but if you have not managed one previously you should find somebody who is able to or you'd drown in the task itself.
The Problematics brand is good, and while you don't have the corresponding Twitter and Facebook accounts, it should be easy to correctly tell the story of your approach and platform to interested parties.
I hope this is helpful, and I will be happy to discuss your platform and approach more, as I agree in your assessment that many of our problems stem from an insufficient capacity to analyze, manage, and solve complex problems.