Ideally we are looking to integrate any process steps you add to refine jewelry with stones so you can utilize the most of your existing system. Specifically filtration and precipitation of the gold.
From the photo you attached of your system I see that the filtration system is not in place. Can you post a photo of the filter that slides under the tumbler?
Most systems, including the system in New York City I posted the photo of above, have what is usually called a filter trolley because it rolls around on wheels and easily slips into place.
This is a filter trolley standing alone.
The way the filters I am familiar with work is the double diaphragm pump creates suction under the filter paper to pull the liquid through and it pumps the liquid to the next step in the process. They are nice because they minimize pouring and handling of acids. They come in all sizes although for a system capable of refining 2 kilograms, I have never personally seen one sized for an acid usage of 10 or less liters, which is why I ask for a photo.
If you do digest the diamond containing gold in a glass vessel, you will need a hood to accommodate the vessel and the mantle to heat it. Do you have a separate lab hood to do the digestion in? I use spherical vessels which have capacities of 5 liters, 12, liters and 22 liters. These are the small reactors which are small enough to be lifted and poured manually. The 5 liter flask will process 20 ounces of karat gold, the 12 liter 50 ounces, and the 22 liter 100 ounces. It was my thought that you could digest in a glass vessel and manually pour the digested material into your existing filter system and process from there with your existing equipment. So your question about the connection between the vessel and the collection tank is simple, there is no connection, the completed reaction is removed from the mantle after disconnecting the reactor head, (which connects to a scrubber), and manually poured into the filter. Smaller stone removal lots can be processed in 4 liter beakers which have a capacity of 1/2 kilo per vessel. They are exhausted into a manifold that is scrubbed with a simple vented cover.
The encrusted silver chloride can be dissolved with Ammonia NH
4OH but this must be done in a hood as the ammonia and hydrochloric produce dense white (ammonium chloride) fumes. Please note, do not leave the ammonia loaded with silver sitting around, it can form explosive compounds if it dries out. Always acidify the ammonium hydroxide liquid after you are done with it. Hydrochloric acid will precipitate silver chlorides which can be filtered and processed with any silver chlorides that came from the aqua regia process.
If you would please post any photo's you have of your filtration and precipitation (cementation) setup that is used with the tumbler system, we may be able to come up with a method to utilize as much of the existing equipment you have. So if we can look at what you are looking at it will be helpful.