The cracks seem to stem from some bubbling, so they might just be cracks in the paint. Then again, they are near the shifter boss, so maybe the tube was damaged when they fixed the boss to the tube...
Without a rider's name on it or any definite info as to whether it was actually ridden by a pro in the giro or not, then if the frame is cracked I don't think I'd bother repairing it. If it is just a crack in the paint though, and it could be ridden, then I'd probably fix it up, even if it's not a pro bike. can you press the tube inwards easily at that point?
Does it have a serial number? if it does then maybe bianchi could tell you when it was made and who for. If it was a pro bike, then depending who's it was I might think about fixing it up as a show bike, depending on its history it might be a shame to scrap it, even if it can't be ridden.
if it doesn't have a history then I say sand some paint off and see if it's cracked - if it is and you're going to scrap the frame anyway then you haven't lost anything, if it isn't cracked then touch up the paint again and you've got a nice TT bike.
Hi yes there is a frame number on the bottom bracket, so like you say maybe contact Bianchi. I stress that the frame will never be ridden agin in my life time its purely a case of wether its worth preserving without doing any repairs to the cracks, but to just keep it as is, as a sort of snapshot into the past 1996-7 of what Pro team T/T bikes were like.
It wont cost that much to get sorted as It only needs is a saddle & a pair of Wheels plus I already have a pair of 9 speed shamal's (all be it the front is a 650c). If I do sort it out I would like to put it back to how it originally was with a 650c front forks & wheel.