I was prescribed 15mg diazepam (Valium) daily after already have been on Xanax XR (not one I'd recommend, alprazolam is far too addictive and short-lived even with the XR formula, its great for breakthrough anxiety and panic attacks otherwise re-dosing is a must with alpraz), temazepam at night (man do I miss that one, but it's strictly for severe insomnia being it's a strong hypnotic and very recreational due to it's prominent euphoriant qualities), and first I was on 0.5mg clonazepam (Klonopin) x 3 daily. It served me well, but it killed my appetite just as you mentioned and cause mood-swings without the aid of marijuana.
But to get to the point: Diazepam was absolutely perfect for SAD/GAD/panic attacks it's an all-around classic, cure-all anxiolytic. Great mood-uplifting/antidepressant and muscle-relaxant properties. Didn't have any noticeable affect on my appetite either. I need to get back on it honestly. As well as my temazepam (Restoril) not only did it anhiliate my insomnia, but it had anxiolysis that lasted clear into the next morning/early afternoon.
If the appetite thing is a big issue, I suggest working out a way to medicate with indica-dominant MMJ. I don't know what I'd do without it. Not only does my anxiety affect my appetite, but my Hepatitis C (sharing needles during my IV opioid/cocaine habit throughout the past 4/5 yrs).
It's nice to hear somebody else has trouble eating on benzodiazepines, most say they get the munchies. I do rarely, usually on alprazolam + cannabis and it's mostly for milkshakes and shit.