It should work. The only thing using the -5V is the first opamp so as long as you pick one that works down to ground it should be ok. The input will never need to be zero volts as that would give zero discharge current anyway.
Sounds good. Guys what would you recommend using as far as software goes for simulating a configuration such as this? I use ADS for RF block level simulation but it would be overkill for something like this, no?