First the good news:
The page with the three icons is the bootloader menu which means you should have fastboot access to your tablet from your computer.
You can use fastboot to flash a new recovery (TWRP) and once that is installed you can flash the new rom.
So this can be fixed relatively easy, but you have to do some reading before attempting it. Done correctly this is a safe procedure. Done without understanding what you are doing could leave you with a hard brick - right now you're probably just soft bricked.
So I was in the process of trying to kill this crap ROM and upload I think CYA.. eh it's not the issue. So the first thing it asked me to do was this TWRP (which is new to me from a year ago) and I installed v2.5.0.0. When the tablet was working, that program seemed to work just fine, but when I rebooted in to RCK, it's so skewed and off center that I can't see half the screen.
I am not sure what happened here. I have used TWRP since version 2.3.x and never had the problem you describe. I suspect you installed a version for a different device - not the one specific for the TF700.
Well I tried to restart my tablet and this TWRP thing came up and asked if I wanted to run this (NEWVERSION).zip (I don't want to call out the development team, I'm sure their most recent update is much better) but basically it was the new version of the ROM I was running, so I let TWRP (from the loaded up tablet) to "install new zip" so I of course wiped data, cache and dalvik.
Are you sure you had TWRP installed???
If I understand this correctly, you booted the tablet normally and got a notification to upgrade the STOCK rom to a newer STOCK version? TWRP would not do that - it just doesn't have the functionality to recognize a newer firmware version.
If you say you "let TWRP from the loaded up tablet to install new zip" - do you mean you were booted into Android? You were running the system? That would clinch it: Whatever you were using (and I am afraid it was ROMToolbox or some such) - it was not TWRP. TWRP is your custom recovery. You have to boot into it to use it.
Well now, I'm stuck in the bricked mode of ASUS screen. If I hold down volume and power, I get RCK/Android/Wipe Data. I ever get the computer asking me to install new drivers, but of course it won't recognize the TF700 as a disk.
Any suggestions on how to get this thing back?
Question: Did you unlock the tablet? Did you use the Asus Unlock Tool to unlock the bootloader or did you just root it? When you booted it up: Do you remember seeing "This device is unlocked" in tiny script in the upper left?
I assumed you were unlocked, but writing this post I developed doubt. I suspect you just rooted, downloaded ROMToolbox and tried to flash a new rom through it.
That does not work on this device. You have to unlock the bootloader, install a custom recovery and then you can flash a custom rom. Do not use ROMToolbox on this device!
So before I even attempt to explain the fastboot procedure, I have to know if you unlocked your TF700.
If not, you can't use fastboot.
Your last option then would be to pray that the stock recovery still works and flash the stock firmware.