Is there a Japanese word for the game "horseshoes?"


I'm guessing this will come across as two questions, but their interrelation
is important...

Is there a specific word for the game where you toss a horseshoe at a peg (in
English just called horseshoes)?

Obviously a literal translation would be 蹄鉄｛ていてつ}, but would a native speaker
understand it in context of the game, i.e. 蹄鉄を遊ぶ or 蹄鉄やろう, or in an even more
complex context such as "'close enough' only counts in horseshoes," even if
they weren't directly aware of the English idiom, such as:

[code]

    いい線とは蹄鉄と州榴弾しか関係ない。
    
[/code]

("Close enough only matters with horseshoes and hand grenades")

Or perhaps:

[code]

    「ほとんど」とは蹄鉄と手榴弾しか関係ない。
    
[/code]

("'Almost' only matters with horseshoes and hand grenades")

Note that I'm not looking for a similar idiom in Japanese, I'm looking for a
direct translation of the English, even if it sounds awkward, so long as the
listener knows about the game horseshoes and that being close but missing
still counts.

**EDIT:**

Based on the answers given so far, I've come up with the following dialog for
two characters in a story and would like to know if it makes sense:

[code]

     「あのつちぐもにほとんど食われそうだったのにあんたいい機嫌だよね、カレン。」
    
     「アメリカではとあることわざがある。ほとんどって言葉はホースシューズと手榴弾の場合でしか関係ない。
    　まぁ、翻訳で少し何かがなくしたかもね。。。」とカレンは頑張って訳試して見た。
    
     「骨子ぐらい分かったわよ。つまり、いくら惜しくても外れは外れ
       当たらなければ何にもならないってことか？」とのぞみは答えた。
    
     「そう、そう！何が起こったことでもあろうと、あの化け物に食われなかったら問題なし！」
    
[/code]




Horseshoes hadn't be used until Meiji in Japan, naturally no specific word for
the horseshoe-tossing game. You can just literally say 蹄鉄投げ. FYI in the video
game Rimworld, an item [_horseshoes
pin_](https://rimworldwiki.com/wiki/Horseshoes_pin) is translated
[輪投げのピン](https://wikiwiki.jp/rimworld/%E3%82%A2%E3%83%BC%E3%82%AD%E3%83%86%E3%82%AF%E3%83%88%E3%83%A1%E3%83%8B%E3%83%A5%E3%83%BC#dcc731c4)
"hoop toss pin" which sounds way more familiar than the horseshoes, though the
description and the graphic clearly tell that it's actually horseshoes that
are thrown.

[![enter image description
here](https://i.stack.imgur.com/JeNoB.png)](https://i.stack.imgur.com/JeNoB.png)
[![enter image description
here](https://i.stack.imgur.com/XiHyG.png)](https://i.stack.imgur.com/XiHyG.png)

Note that traditional 輪投げ usually requires hoops to be thrown exactly over the
pin, so... close doesn't count.

For that reason or not, there's no idiom like "Close enough only matters with
horseshoes and hand grenades" if I'm correct that this literal situation is
the moral of the phrase. You have to explain, and what is worse, English
"close" and "almost" in this sense is fairly ambiguous in Japanese, so you
aren't likely to get the sole versatile translation. In the first place it
divides into whether "missing" is undesired:

> 惜しいが通用するのは蹄鉄投げと手榴弾だけ  
>  （蹄鉄投げの）蹄鉄と手榴弾以外は当たらないと話にならない

or desired:

> （蹄鉄投げの）蹄鉄と手榴弾以外は当たらなければどうということはない  
>  （蹄鉄投げの）蹄鉄と手榴弾以外はかすらなければ全部同じ

( **Edit** : Though those sentences let listeners infer that horseshoes is
something "counts even if missing", the fact is not known a priori to the
average Japanese. Darts and curling might be better examples of such games for
the purpose of explanation to Japanese.)

**Edit 2** :

Translation in context is nothing like the sum of that of individual words. I
provide a natural version of your sample dialog, please see how the
explanation above is inapplicable without context:

> 「カレン、あんたあのつちぐもにあと一歩で食われるところだったのに上機嫌ね」
>
> 「アメリカにはこんなことわざがあってね。『蹄鉄投げと手榴弾でなければ、あと一歩かどうかは関係ない』  
>  まぁ、翻訳じゃ伝わらないかもしれないけど」  
>  カレンは頑張って訳をひねり出して言った。
>
> 「雰囲気ぐらいは分かったわよ。つまりいくらギリギリでも、そうならなかったら全部同じってことでしょ？」とのぞみは答えた。
>
> 「そう、そう！途中何があろうと、あの化け物に食われなかったんだから問題なし！」

