Looking for an Online Card Shuffler and Drawer
The game Tabletop Simulator has many games on the workshop, including 7 Wonders.

Tabletop Simulator (TTS) is exactly what the name implies: it simulates a tabletop. You can play chess, checkers, poker, or any game really since the game has extensive support to import own games. Even more, there is a whole scripting environment to automate actions/mechanics in games.

One of the great features TTS has is that you can shuffle cards and deal to all players. You can simulate this for your forum group, but if you guys want to take it real time you can all acquire TTS and play together. Online.

This is why TTS is so popular. It allows players that normally don't have that much time to come together play awesome games. It is also used a lot for playtesting custom games, so if you're into that, you might want to check it out as well.