Swan Engraving on Battle Axe

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I need a design that is possible to engrave onto this axe (links in bottom) for a viking themed event. My last name is Swan Mountain in Swedish, so the thought is to design something based on my name.
Ideally it would be a design where a Swan body/head is in the middle, and there is one wing going out on each side, even if the wings become oversized vs body.
What I mean is a bit like this, but this is way too detailed for engraving: https://previews.123rf.com/images/lexver/lexver1610/lexver161000001/67806694-coloring-book-page-for-adults-swan-with-wide-open-wings.jpg. You can see in the pictures below the level of detail that is possible to engrave (i.e. can't be too detailed).
The alternative would be having a swan mirrored on each side (like the second link below).
Even better if there are mountain(s) (based on second part of last name) in the design also, or runes / other viking-inspired elements. There are a few axes on that site to take inspiration from. Also, it is a battle axe after all so a vicious looking swan is better than a happy one.
https://medievalgodsends.com/collections/viking-axe/products/viking-double-blades-berserker-axe
https://medievalgodsends.com/collections/viking-axe/products/odin-two-blades-hatchet-with-carving-handle
Appreciate any input here - hopefully it is a fun design to make!