Troy,
Im surprised your 6.5mm TKS is not delivering more than 2,675 fps without destroying your Lapua brass. There are a number of guys shooting that cartridge and they dont have any problem getting over 2,700 fps with no brass problems. My current ram load produces 2,775 fps with the moly-coated 141 Cauterucio VLD.
There are several issues that might cause your brass/pressure problems. First, you might have a very soft batch of brass. Ive got brass Ive been shooting for years with no failure. The cpt brass is kept separate from the ram brass. The ram brass has way over 20 firings without, to the best of my memory, a single case failure.
Second, there might not be enough clearance between the neck of a loaded round and the chamber neck. My ram loads are 0.282 in diameter at the neck and the chamber is 0.284 at the neck. If there is less than 0.001 per side clearance excess pressure problems can occur.
Third, the bullets are mol-coated. One thing moly does do is allow the small case capacity cartridges to perform at higher velocities with lower pressures.
Fourth, the barrel bore/groove diameters might be too small. That will drive up pressures quickly. When a button or broach is at the end of its life, it produces a barrel with inside diameters that are a bit too tight.
The 6.5mm TKS was originally to be a 7mm TKS, but Kurreck was set on shooting a 6.5mm so I designed the reamer for the 108 and 139 Lapua Scenars. The 7mm TKS would be a most excellent cartridge for HP Silhouette.
There should be no problem shooting Cauterucios bullets or the JLKs or the Amax because Ive shot all 3 in the same 8-twist and 9-twist 7mms. The 8-twist was the 7mm PPC Improved and the 9-twist was a 7mm BR. In the BR the 168 JLKs or 156 Cauterucios were death to rams. Ive just tested Cauterucios newest version of his 7mm 156-grain closed point bullet and can report it is mind bogglingly accurate and smacks the rams silly. Even though it is stable in a 9-twist and only weighs 156-grains, because of the new design it has a 2,400 fps BC of 0.588! The new 7mm Sierra MK has the same BC at 2,400 fps but it weighs 175 grains.
If I was to design a reamer and spec a barrel for HP Silhouette right now, it would be a 7mm TKS with an 8 or 8.5 twist barrel between 27 and 29 in length. The taper would be like a Palma taper with about 20 fluted in the middle. Stock would be one of the new hot stocks by your Canadian compatriot or one of the Pharr models. Lapua 6mm BR brass would be used. The brass would be opened to 7mm, ram bullets of choice seated optimally, neck measured and then 0.002 would be added to spec the reamer neck. Freebore would be long enough to allow the long bullets to seat so the base of the boattail is at the case shoulder/neck junction or at most a bit lower. Freebore would be at 0.2840 and leade angle would be 1 degree per side, 2 degrees included.