For the analog switch, your 20v range, 30v supply... You might be best off with DMOS switch, or JFet/Mosfet. However, have you considered an optocoupler with an AC Mosfet output. You get a few 100Meg ohm when off, around 10 ohm down to 1 ohm depending on type, when on.
I hadn't considered that but I'll look into it. The output has to be perfectly linear over the +- 10V signal range but that may not be an issue.
For the OPAmp, you might like the low power, low offset precision of these:
http://www.ti.com/product/opa4192
I had seen that op amp when I went searching; among others, of course. I like the idea of using a quad device but I'm not sure of the wisdom. I could get 4 amplifiers, 8 timing capacitors and the associated switches on one PCB and, as it turns out, ExpressPCB makes my boards in groups of 3. So, 3 boards, 12 amplifiers, sounds good to me!
Twelve amplifiers is probably overkill. Equations of motion may only need two integrators (acceleration->velocity->displacement) plus summers and inverters. I don't see many problems using higher order integration but with a dozen amplifiers, I should be set for a lot of problems.
My current computer has 2 integrators, 2 summers and 1 inverter. It has been just sufficient for problems like damped harmonic motion, pendulum motion, simple predator-prey and similar equations. Moving up to 12 amplifiers more than doubles my capability.
And, yes, Matlab with the Simulink plug-in does a magnificent job of analog computing. But it isn't hardware!