I have a Kala KA-T Tenor Uke that we bought in Kauai about a month ago. I no sooner got it when I also bought a tenor Kamoa. So I am looking to sell off the Kala. It has Aquila nylgut C/E/A strings with a PHD low G string. It comes with a simple gig bag. It is practically new. It is well under your budget at $125 plus shipping.
If there is interest, I will post pics.
If there is interest, I will post pics.