The best way if looking to build is a rem model 7. Install a Wildcat stock, and follow all of the weight loss things that need to be addressed.
If looking to buy, you can’t really beat the Howa super light.
If you have not shot super lightweight guns before, it takes a lot of getting used to, to be proficient with them.
Another build option would be a tikka in a wildcat stock.
+1 on these options above
A Rem 7, 700 Mtn, ADL or Tikka Lite in a Wildcat should get you somewhere in the low-mid #6Lb range easily enough. There’s far more aftermarket support for these platforms than the WC should you want to make changes in the future.
I’d even consider looking for a Rem 78 (not 788) to build off considering it’s the same as a 700 except for the Bolt and will accept all the same aftermarket usuals (barrel, stock). An IBI/JC barrel in either pre-fit or blank ending somewhere in .550/.575 dia range with a Wildcat Stock would get you a sneaky poor mans 700 Mtn pretty quick.
There’s the older Tang Safety Ruger 77UL with 20” pencil barrels out there as another option. Aftermarket support is limited on these however.
I haven’t messed with a Howa SL yet, but it’s on my list of ones to acquire at some point. The Gen2 version has an OEM HS Precision Stock, so one less thing to buy/swap out over the above options. A member here has some Aussie aftermarket stuff avail on the EE for the SLs. Worth a look if going that route.
All you’d need to do is add in a Leupold FX II or III In 4/6x, VXII 2-5-8 or even a Redfield Revolution for Optics to any of the above and you’d be all set for almost half the cost of the WC NULA and be in that mid #6lb range easily enough.
JMO but 20-22” barrels are usually where and what I look for in a setup unless I’m shooting a magnum type cal. It just seems to be the sweet spot for a lot of cartridges and that length carries well over a variety of terrain.