We have used a Porta-Chef by Broil King for a few years. We do not run it off the quick connect but it is capable of doing this. It has a standard regulator at the propane tank fitting that could be replaced with a simple hose.
The BBQ works great and has the highest BTUs for its size (at least it did when we bought it). It will get plenty warm to handle all of your cooking needs.
It has removable legs and stores very easily. It is also not very expensive.
Here is a link:
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