Could you whitelist Iron/Gold/Diamond chests for Ender Bag (from Ender Utilities)? And possibly other basic storage types. So far I found only vanilla wooden chest is whitelisted.
It binds to another block and opens it's inventory remotely. (similar to Ender Chest + Ender Pouch, but works with any block that has inventory). Quote from mod description: Spoiler Ender Bag Sneak + right click on an inventory to bind the bag to it. Can be bound to simple vanilla blocks that have an inventory, plus the vanilla Ender Chest. The bag then allows remote access to that inventory from anywhere/any dimension. It does chunkload the chunk where the target block is during use and for a 60 second grace period after, to avoid loading and unloading repeatedly. The bag can be switched between private and public mode using the Toggle Mode hotkey. Private mode won't allow other players to use a bag you have bound to regular inventories. (Ender Chests are player-specific anyway.)