Hi Tony, welcome to the forum, careful you don't get sucked in, its very addictive.
I don't claim to be one of the more experienced on here, but I have had a look at the cornomarrone website and I have a few comments to make. I am not a prolific bike restorer, but like a lot of members on here I am quite fussy about detail and finish.
I looked at some of the detailed pictures for both Bianchis they have for sale. I think they could have paid a bit more attention to detail. There are quite a few marks and scratches on components that could have easily been polished out, on brake levers, cranks and calipers. Also I spotted some small rust spots on the caliper bolts/springs that could easily have been dealt with.
I don't know Bianchi values but they seem a bit pricey to me. They maybe might have been worth near the money with the original paint, in which case the patinated components would have been fine, but the frames have been powder coated, not stove enamelled.
If you really like the Celeste bike, can you go and have a look at it? Knock them down on price because of the cheaper paint job and because it needs work on the components to make it 100%. If you are not comfortable walk away.
With that kind of budget, I am sure you could get a very desirable, mint condition machine from one of the forum members. Some members always have something for sale.
Bruce