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The sentence is grammatically incorrect, but あそびにくい【asobinikui】 just means "difficult to play" or "difficult to hang out" as you suggested.
学校では遊びにくいな
gakkou deha asobinikui na
The particle for location in this case should be では【deha】 because it's where the action takes place. Also, you can't use だ【da】 after 形容詞【keiyousi】 (i-adjectives).
(私は)学校では遊びにくい。One thing to note is that the sentence using this construction has to be a sentence that describes some objects. In the above example, the topic cannot be about a person.
Watashi wa gakko dewa asobi nikui (It's hard for me to play at school.) is incorrect. I has to be something like "X-box wa gakko dewa asobi nikui".
(私は)学校では遊びにくい。
(Watashi wa) gakkou de wa asobinikui.
This sentence is not incorrect. For instance, the reason is 前に先生に怒られたことがあるから "because I once was scolded by my teacher." It's the same meaning to 遊びづらい; asobizurai.
What the OP was talking about could be something like "gakkou ni wa asobiniikuda na."
学校には遊びに行く(ん)だな as a kind of dialect...
Textbooks might recommend 遊びづらい. 遊びにくい sounds more colloquial, imo.I have no problem with 遊びづらい, but 遊びにくいsounds awkward. Probably, many native speakers of Japanese prefer 遊びづらい.