To go a bit further into the whole thing for the uninitiated-- stepping up in displacement with a Type 1 almost always means more bore, which means machine work to the heads and case. This isn't a big deal, and everything from a 1776 on up has this stuff done to it.
The popular Type 1 bore sizes are 90.5, 92, and 94 mm. Historically, nobody likes 92s because they are usually just bored out 90.5 cylinders, and they are prone to distortion. There are now "thick-walled" 92s, but it's not worth getting into. 90.5s are the safe choice, but there are limitations on valve sizes, etc.-- it won't matter until you get into big displacements, but then it will. Gene Berg hated 94s, but then again he hated any compression ratio above about 8:1 or so. 94s are thick-walled and are the practical limitation for a Type 1, unless you go way off the map.
Stroke is another issue. The pent-roof AL cases from Bugpack, CB, et al will all handle up to an 86 mm stroke without any grinding (on the case-- at 86 mm the cam needs to be relieved). There are guys putting up to 90 mm stroke cranks in AL cases, but the engines aren't all you'd think they would be. A mag case will do about an 84 mm stroke, but it'll take a bunch of work. Some guys will build an 86 mm stroke an a mag case, but the roof is getting pretty thin. Most builders like the mag case better, hence the 2332 is a more popular combination than the 2387.
94s make more heat than 90.5s, but a longer stroke is going to make more heat than a short 69 mm stroke, so..... I'd recommend just going with the bigger bore and deal with the heat issues as they arise, unless you live in Death Valley or Phoenix or somewhere similar . FWIW, "lousy build" 1776s make a ton of heat as well. Get a good header, a big remote oil cooler, and a good shroud, and a 2387 will probably run as cool as a mexi-crate 1776 with a Monza header and an Empi shroud.
I'm planning a big-displacement Type 1. I'm pretty committed to going with nickasil cylinders and a DTM, so I'll be running about 10:1. I'm undecided as to the case and stroke-- an AL case is stronger in the main journals, and allows a bigger stroke-- but a mag case is lighter and dissipates heat better. If I go with LN Nickies, I'll do a 95 mm bore (a Porsche size) with the bottoms machined down to fit in a 94 mm register in the case and heads. A 95x86 is 2438 cc-- that's a big Type 1, any bigger and I should really be in a Type 4 anyhow. I'll not go any smaller than 2332.
Good luck.