Yep, either a jack russell or a rat terrier make good mousers. My persian cats don't know what to do with a mouse. They won't even play with fake mouses. My rat terrier is a terror when it comes to little loose creatures (birds too). The sweetest dog in the world, but he feels it is his duty to "kill" anything small that moves! That is why he is kept away from my small birds (just in case one gets loose).
Back to the mice....you also have to find out where they are coming into your aviary. Seal up all small holes. If you have a furnace with the exhaust pipes going direct to the outside of your house, make sure you have a tiny wire screen tightly over the open pvc pipes. A furnace guy told us years ago to leave those pipes open. DON'T listen to that advice! Cover those pipes with wire screening
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