The 22 Mag would be good for your smaller animals within your ranges and okay for the yotes if you're able to call them in close like that. If you think you're going to be shooting at the longer ranges, NoMercy's suggestion about the 22 Hornet would be a better fit.

Since you haven't mentioned reloading, I assume you're not reloading. 22 Magnum ammo is cheaper than 22 Hornet ammo but it's not as versatile, especially if you decide to reload. Something else to consider is how many rounds do you plan on firing in an average year? Yes, 22 Hornet costs more but you get incredible versatility in a relatively quiet round that will easily cover all of your anticipated ranges. If you only anticipate shooting a few boxes of ammo a year, the cost difference isn't that great for what is arguably a better round for all of your chosen animals.

A perfect solution would be to buy both but since your funding doesn't allow it at this point, I'd lean towards the 22 Hornet and pick up the 22 magnum later on when your budget allows it.