Sure it can be done, either blow through (banks systems) or draw through (martin turbo sys)
There are some things you need to modify on your carb, there is an article on the net somewhere about modifying a holley for turbocharging/supercharging. Do a search on it, it's a very good read (step by step intructions)
Turbo lag really is not a problem in a V8, especially if you use 2 smaller turbos. Small 4 bangers have turbo lag problems, if you stick to a sane power level and select the proper turbo you won't have any lag problems (I'm not talking super large 1000+HP single turbo apps or big duals for even more oomph)
The supercharger certainly is not simpeler, the modifications to the intake system and the block are very similar, the only area where it's easier is the exhaust system.
The ZZ4 will need a lot of work to handle the power. First of all the L98 heads are too thin in the deck area and the chambers are tiny, this means you will need seriously dished pistons. You'd need new pistons anyway because the stockers are hypereutectic and won't stand up to serious cylinder pressures. You will also need a special grind cam. Reworking the heads is an option, if you stay udner 450Hp or so (kind of a waste though since that level is easily attainable without a supercharger/turbo)
A CR of 9.6 is way too high, keep it under 9 and close to 8.5 if possible. Getting it down any further will increase the turbo lag (very low cyl pressures and a big loss of torque)
Another area that needs seriosu interest is ring gap, you need to run a wider gap because of the higehr comb. temps (higher cyl prssures) and a high volume oil pump is not a luxury with the added oil consumption of the turbos. A drain system with large ID hoses hooking up to the pan with no horiz spots is also needed. For the ebst protection of the turbo an accumulator switched to discharge on shutdown is a great way to keep the turbo's oiled after engie shutdown (the turbo will spool for quite some time)