>I've searched through Elanthipedia, not sure where to ask this question... but is there a command that gathers up coins and other loot on the ground while hunting? If so, are there a variety of options?

You can use the https://elanthipedia.play.net/Store_command to set default containers for various items to be stowed using the STOW command ingame.
example: stow box will work for any type of loot box, regardless of it's noun: strongbox, crate, chest, etc
example: stow gem will work for any type of 'gem', regardless of it's noun: crystal, diamond, diopsid, ruby, etc

Each use of the stow command will only pick up a single item though, so you'd have to use STOW <item> over and over until you've picked up what you wanted. Stow cuts out the 'put <item> in my <container> command for you.

You can GET <box type>, or GET coins or GET <gem type>. The GET command requires use of the specific noun of the item you're getting, it only picks up a single item per command and you'd need to follow it up with the PUT command to PUT <item> in my <container>.

What it sounds like you're looking for though is:
The recent AUTOLOOT command allows you to set various loot types to be picked up automatically for each kill, including all coins, gems, boxes and/or other treasure loot if you've set your autoloot command to pick them up and assuming you also have an AUTOLOOT compatible container. The autoloot command works automatically, picks up everything at once and doesn't require a specific command from you to do it's thing.
https://elanthipedia.play.net/Autoloot_command
Autoloot compatible containers are mostly sourced from Microtransaction Events.

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https://elanthipedia.play.net/Main_Page

If you type STORE while in game it'll give you the options. Also there's a GUI link that you can set things to be stored in different containers via the STOW command.

Bluefalcon