Steven Zahm@ Gary
Sorry, but Connections would not be a good replacement for GeoDirectory as it does not have the clustermap feature (I’ve slowly been adding a robust mapping API so I can start adding such features to Connections) or built in billing.
In regards to billing, I always recommend to users that they instead look at membership plugins for this vs it integrated into the directory. The primary reason is monetization. With it built into the directory, the directory becomes the only way to monetize the site. Using a membership plugin like Restrict Content Pro you are more easily able to expand your site monetization options and opportunities where the directory can simply be one member benefit.
Probably not the answer you were hoping for, but I do hope it helps!
ps. I did take a quick look at your site and I did not seem to experience the redirection issue you mentioned.