If your Sub is an 8-lug, any diff that is listed for a 9.5" GM rear axle will also fit your 9.25" front axle. (Isn't that nice!!
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If you have a 6-lug truck, there's not a diff made for it that I'm aware of.
While I LOVE TT's, and run one in the front of my Jeep with no regrets, I'm not sure how well it would do in an IFS rig... Or at least it would depend on your "offroading". If you keep weight on all the tires, like mud/sand/snow, then a TT will bind up and work very well to keep all four wheels turning. BUT if you are in rougher terrain, where IFS is prone to lightening or or lifting tires, the the TT becomes less effective. You can help it engage with the brakes, but if you're intending it for really rough stuff, you're probably going to be disappointed with it in something as heavy as a suburban.
I doubt you'd hurt the TT by running it in a CAD front axle, but it really isn't ideal. Fortunately, it's VERY easy to disable the CAD and have it be engaged all the time. I had a truck where the CAD motor failed and I didn't know until I was trying to turn the front driveshaft after changing the oil. Luckily it failed in 4wd position!!
Your shifting issues sound like the encoder on the actuator is funky. Pull the actuator off the side of the t-case, disassemble it and clean all the wiper contacts. Then put it back in. And exercise it a few times a month and you'll have a lot less problems.
I had been looking at putting the factory limited slip from a 9.5" AAM Dodge axle in my GMC, but I've yet to be somewhere that I need it, and the rear Gov Loc pulls me through just about anything. I did read where someone put a gov lock in the front of something... Given how they lock, I don't think I'd recommend that. CV's are very strong, but that's a lot of shock load when it does engage...
Chris