So I think that I have got my potential answer. I currently have a Tikka T3 Lite in 7mm-08 that is unmodified and weighs just a couple ounces over 7lbs with scope and has been very accurate with everything that I've shot through it.
If I send it off to ADCO to have it threaded 5/8x24 with an added shoulder and have the barrel chopped back from 22" to 17" that should hopefully save me 4 ounces or so based on what I have read on here. (If that number is off, please let me know). That will get me a rifle (98.5oz) with scope (12oz) and suppressor (15.1oz) that weighs right around 7lbs 13.6oz if I have done my math right.
If I decide that this still isn't light enough, then I can buy an aftermarket carbon fiber composite stock to try and save a little more weight. It looks like the Stocky's carbon fiber stock is now as light as 21oz which will save me another 7 or 8oz. Then I would be down to 7lbs 6oz for a complete setup.
I can live with that, because the only way I can get significantly lighter is by starting out with a used Barret Fieldcraft that is threaded for somewhere north of $2k it seems, a Christensen Arms Ridgeline FFT for $2300 or to buy a Kimber Adirondack for around $1600 and then use a thread adapter. The method above, should only cost around $200 including shipping to have ADCO properly thread the barrel, and then $600 for an aftermarket stock. So I would be paying $800-$1500 less for a setup that only weighs .5 to .75lbs more.
I can save that weight somewhere else, or work out a little more. Does anyone see a failure in my math or logic? At least avoiding the fact that it is always fun to have a new rifle. I will have an expensive Tikka, but I have seen plenty on here that are more tricked out.