Sage CRM offers non-licensed accessed two different ways: the Portal module (officially called Self-Service) or via web services. Both are 100% web based. Both require some fine-tuning to fit the specific need.
Web Services is just a programming layer and would require the most work. The Portal module allows you to display CRM screens, lists, other stuff through a web site. It costs $5K roughly but as partners, I think we could swing a trial copy to showcase it to prospects that would use it to record cases.