Not sure it would suit your criteria for battery and solidity, depending what your standards are:
I have the SE Xperia Arc S for about 2.5 years or so, I don't know how easily you can find it brand new in a shop, but 2nd hand "like new" would probably be anywhere between 100 and 150€ here.
I've dropped it quite a few times unfortunately, a few times on the asphalt while walking (so about 1m height), the screen got absolutely 0 damage, all it got was some tiny dents on the corners. Don't be fooled by the light weight and plastic of the back, which give the impression it's very fragile... well apparently not, I've never used a case.
For the battery, it's probably around the standard for smartphones of 2-3 years ago... so maybe you'll want more, idk what your standard are. I think the battery is decent, unless you use a lot features that take a lot of battery, you should be able to go for a full day without re-charging it.
The camera is good enough for text I've used it several times.
Here's a pic:
I'm starting to consider changing it, probably will in a few months depending on what's around, at the moment I have my eyes on phones such as Huawei Honor 6, Xperia Z2(a?), Galaxy S5... it'll depend mostly on the prices in a few months, maybe even in a year, I'm in no rush to change it anyway.