I don't think the t-case would have any problem with being locked front & rear (in the full-time mode, it uses a center differential to allow some slip front to rear)
I DO think there would be some peculiar handling coming out of a locked & powered front axle (auto lockers default to being locked, and when there is power going to them, they tend to stay locked) when in 4WD in either mode. Peculiar meaning unpredictable & hard to steer + lots of understeer.
I am open F & Limited-slip R, and like my 242 in full-time for the rare ice or light snow we see. It's also nice to use in heavy rain. Locking the rear wouldn't affect that capability much, but locking the front would.
The solutions are few:
Install a limited-slip -True Trac- front (and give up being 'locked')
Install a locker front (and give up the utility of the full-time mode)
Install a locker front into a disco axle, (to make it "open"/locked - cheap selectable)
Install a real selectable locker of ones choice (chose one with limited slip & locked or open & locked)
Do nothing (keeps full time mode and is wallet friendly)
The bucks-up solution is a pair of selectable lockers... it's one of the cases where 'good' & 'cheap' don't cross paths.