Not much worry about using urine in general on a compost pile. It can really crank up the temp if you are short of greens some times. Too much salt seems to be a concern for some.

I would suggest using it during the beginning of the compost cycle, as opposed to the latter stages. Some folks use it straight, other dilute it up to 90% water.

I think that looking at it from the point of "how can I best use this to benefit the pile' versus 'how can I get rid of this yellow stuff', is the way to go

Depending on how often you add other items to the pile - and the composition [brown/green], I would guess that once or twice a month might be plenty. But you can dilute it with water and water out of the way shrubs/trees....once in a while.

I say try every day. If you get an ammonia smell from the pile, you know your pile isn't digesting it (is offgassing nitrogen compounds). In which case you scale back until that stops happening.

Keep in mind what while the carbon to nitrogen RATIO of pee is very very high (because it has almost zero carbon), the total weight of nitrogen in the pee is pretty small (it is mostly water).

If your pile is already high in greens, the pee could take it over the top. But if it is mostly browns, I think you'll find you can add it every day without difficulty.