When I was looking a good base was caprisport on eBay
Search caprisport big disc and you should find caliper kit off BMW and brackets.
Calipers appear reasonable price and looks like all they do is conversion bits and bolts etc (for fords)
Also look on Alfa forum there's a big brake bracket tread in the tuning lounge,
The Mito 4 pots and 305 discs is considered a good package for the Alfa guys.
Also the larger 310 gtv calipers etc
You'd be on your own sourcing and getting it all to fit .
There is a lot of mass difference with the bigger discs, was instantly noticed , forgotten now.
Most Alfa guys reckon the pads make the difference on smaller discs but I got fed up with 3 sets of warped Discs
The jtd 150 discs were smaller for unknown reason but thicker so maybe supposed to take more heat. 36mm vs 24mm.
These deltas are 28mm thick so only just fit 150 calipers and guessing not fit any way 24mm disc calipers
As I understand it the GTV calipers are the same as the Fiat Coupe and the earlier lug mount Alfa GTA calipers - all are for 305mm brake discs.
The GTAs later got upgraded to radial mount 330mm discs as they kept warping the discs, so Alfa were forced to change them.
Therefore if you can get hold of some 330 radial mount calipers you can just get a set of brackets made up to fit the Stilo hubs. The calipers are hard to come by though.
The Fiat Coupe, GTV, GTA lug mount calipers for the 305mm disc don't fit the Stilo hubs, the mounting holes are slightly wider apart. It's only like 10/15mm difference, not massive, but that means you can't reasonably make up a bracket to fit them. Hence why you can find these calipers very cheap, as they're essentially useless.
It's the Alfa 166 brembos that fit the 310mm disc. You can pick these calipers up rather cheap too. They're lug mount but with massive spacing, so you can use a bracket. I know, because I've done it. Not on my Stilo though, on a previous Alfa 156. The issue you'll have with 166 calipers is that they're beastly things, so need a good wheel for clearance. Anything less than 17" won't fit and might need some small spacing.
The MiTo and Punto brembos are lug mount and I think should be a direct replacement, no modification required, in terms of fitting the hubs. The problem you'll have with these is that people know it and so they're rare as rocking horse poop to find up for sale and any that come up go for big money.