> どうせ何【なん】かの玉【たま】を落【お】とすのは分【わ】かり切【き】ってる

This sentence uses 玉を落とす in a way that makes me think that 玉 is a noun being
modified by を落とす to mean something like 'a ball intended to be dropped', in
other words, a ball you'd play with in sports and the like.

Also, I'm not really sure about 何か being followed by の, is this a
regular/fixed usage of 何か with any special properties?

If you need context for all this, let me explain a bit:

The person that says the sentence in question is skeptical about receiving the
New Year's Gift お年玉【おとしだま】 from another person, and notices that other person
is holding a ball, which turns out to contain money. Maybe it is a witty word
game intended to show that the ball **玉** actually contained the New Year's
Gift お年 **玉**.
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grammar verbs
interpretation of 玉を落とす in this sentence
The literal translation is:

> It is obvious to me that you will be dropping some sort of balls
> anyway(after all).

The person saying this is playing a pun on the word "玉" as you said. The
person is aware that he/she will either be receiving the "money (お年玉)" or the
"ball（玉）".
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answer
Probably you should describe the context more.

My guess is that it is in a comedy play or something.

Jerry: Hey, I will give you お年玉.

Tom: Oh really? Thanks. But you always trick me. I am sure you give me '落とし玉'
but not 'お年玉.' I am not sure what it means, but it is obvious to me that you
will be dropping some sort of balls and call it '落とし玉.' I won't be tricked
anymore.

Jerry has a ball, which turns out to contain money.

何か: Something 何かの: Some sort of
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answer