An all-laminate uke will sound like a laminate regardless of the very thin outer wood layer used to make it look attractive. Koa, sycamore, monkey pod, bocote, zebrawood laminates will all sound much the same. If you see a listing that says: "All-Koa," it usually means it's a laminate body with a koa top layer. If it says: "Solid Koa" it means the top, back and sides of the body are made of solid koa wood. "Solid wood top" usually is a flag indicating that the back and sides of the body are laminate or plastic.
A solid wood top will give it some of the sound characteristics of that type of wood. But then you'll once again have the problem of humidification to prevent the top from splitting or warping.
The only materials truly impervious to a lack of humidity are synthetics such as plastic or carbon fiber. The Enya Nova U Pro tenor is pretty good. Magic Fluke tenors are highly regarded. They are rugged and you can get a solid or laminate top. The Blackbird all carbon fiber tenor is excellent, but runs about $1200 USD.
You may want to look instead at using a Boveda/D'Addario HumidPak in a wood ukulele's hard case. You leave one or two in the case and replace them about once a year. Though, you'll have to keep your uke in the case when you're not playing it in order for it to work.
Or, you can get a room humidifier and keep the uke in that room when not playing. You'll have to refill the humidifier with water every few days. And clean it on a regular basis. It's surprising how much water you'll use in a day to keep a room between 40% and 50% RH.
Those are essentially your options.