It sounds like you'd best be looking for an AT.
Any of the first four on the list you can forget about, especially the L96 and PM CISM. L96s were British (and Irish contract) military issue. 12 of the Irish contract ones were imported into the US a few years ago but will command an incredibly high price, perhaps $30k or more. PMs were made on order for police and law enforcement, and non-British military, but a very few were sold commercially. There are also a few PMs in the States, but again, same sort of money. PM CISMs are virtually non-existent outside of military CISM shooting team armouries, mainly in Sweden, Norway, and Oman. PM and L96 are the same action and chassis, but different name by end user and subtle differences in accoutrements. Some very late PMs were folding.
AW and AE are also very expensive, about $10k+ for an AW and bit less for an AE. They are basically the same action mechanically except the AE is round and AW is square. AW is glued to the chassis and AE isn't and has a Rem700 style recoil lug. Only issue with the AE is that the Mk1 and possibly Mk2 have unique mags, whereas Mk3 uses AICS. The original 90s AT is almost non-existent except in wooden target rifle form. The sniper ATs are extremely rare and not many know about them. They're basically an AW with a round tang, AE MK1/2 style shroud and safety, and AWM 6-lug boltface.
The 2014-2024 AT is also available in fixed thumbhole chassis and are quite a bit cheaper, perhaps $4000 minimum. You'll always find some opportunistic listings that are overpriced on account of the AT being discontinued and therefore "rare" so try to shop around. There are lots of spares for these still around and are fine rifles, especially with the quick change barrel feature. The skins aren't as sleek as the OG skins on an AW and AE because they are multi-panel. You'll just have to live with that unless you can fork out $10k+ for an AW.