Can you better describe the problem you are encountering? Tumult Hype is compatible on 10.8+ and later, and we haven't dropped support. The only known issue that was a recent regression for was in exporting Animated GIFs and we are working to get a release out soon to address this (Workarounds here).
As for Dropbox, we are also deeply saddened by this, as we considered it the quickest way for users to get content online. It is a reality of relying on 3rd party services that some will get shut down. Hype had Dropbox upload since v1.0 and 6 years was a pretty good run. The removal of this feature has been known and communicated long in advance by Dropbox to their users. We talked with them about it as well, and I believe this in part kept it operational longer than they had planned.
As for uploading, there are many different solutions. Free ones would be GitHub pages (which @darren_pearson kindly made video tutorials for) and NeoCities is another option. There are cheap hosts like NearlyFreeSpeech and many other web hosts available. We have long had video tutorials on uploading via FTP.