No AAA member, what if I get a flat tire?

I drive only a few miles a week, so I've let
my AAA membership lapse.

Is this a big gamble?

Let's say I get a flat tire on a freeway 50 miles from
home.
(I don't have a cell phone.)
So I'll just wait by the curb, with the blinking
signal, until a cop pulls up.
(can this take 2 hours?)

and no highwaymen, please.

Then I guess if I had AAA membership, AAA can tow
my car to a nearest tireshop for free.
(Is this correct?)

Because I'm not an AAA member, a tow would cost me
something like 200 dollars?

Thanks for the informed commments.
  
 

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