I took a quick look at the tenors at Musicians Friend. At $100 under, I saw Diamond Head (I've never heard anything about them) and Kohala (I played one - eh - but I've heard people have had good ones). There's a Gretsch for $130 or so, and I really liked the one I played (and have a concert on order), but the neck is thick. However, I really like thin necks, but found the Gretsch to be fine. (I don't have small hands, however.)
Buying from Musicians Friend means you would get something that has not been inspected or set up. So my humble suggestion is that -- if it is possible for you -- to buy from a place that does inspect and set up (such as theukulelesite.com), where you also can ask questions. You would have to pay shipping from them. Shipping is less from Mim's Ukes and Uke Republic, where you also can ask questions.
That leaves $100 on the table with MF. Well, you could get a case from them, and a Snark or other tuner, and maybe a book. Oh, and some strings. That all could get you to $100, or very close.
As far as which brands sell low-cost tenors with thin or relatively thin necks: Islander, Kala, Ohana, Cordoba come to mind, but I'm sure there are others.
Here is a link to theukulelesite and tenors $39-$199 -
http://www.theukulelesite.com/shop-by/price/39-199.html?size=8
The other two places will have Ohana and maybe some other brands with tenors in your price range.