Is there some way to make Dynamic track only a part of a variable

Question

I often run into a situation like the one exemplified by the code below. The basic idea is to use a single DynamicModule variable as a list or association of values that can be manipulated by individual controls:

n = 5;
DynamicModule[{
  var = AssociationThread[Range[5], RandomInteger[10, n]]
  },
 Column @ Map[
    Row[{
      Slider[Dynamic[var[#]], {0, 10, 1}],
      Dynamic[Echo@var[#], TrackedSymbols :> {var} (* var[#] cannot be used here *)]
      },
      "  "
    ]&,
    Keys[var]
  ]
]

In this example, whenever one slider is moved, all the Dynamics fire (as you can tell from the Echos) and that is not what I want. I'd like each Dynamic to listen only to changes in var[i]; not to the whole association var.

Of course, I could just localize {var1, var2, var3, ...} instead, but for arbitrary n this gets annoying and difficult to maintain.

I could also wrap each Row in its own DynamicModule that keeps a local copy of var[i] to be used for display purposes only and then modify the Slider to control both var[i] and its copy, but then it becomes quite difficult to make sure the displayed Dynamics behave well when var changes externally (for example, if I want to have a reset button that sets all var[i] to zero).

I'm sure it's technically possible with some sort of meta-programming technique, but is there a more canonical way to do it?