Yeah, the Varmint with the 5-25x50 in the chassis is a heavy pig, but shoots like a dream. The Yo Dave trigger is nice too. The CTR is mostly on the range, but it comes with me on out of province hunt trips "just in case". I carried that pig for 2 days on the bogs of NL a few years ago while I waited for the Purolator pouch with my main rifle bolt that I accidentally left on my bench back home while packing last minute..lol..(flame away, boys!)
For a nice range gun, go with the Varmint in a good chassis with a decent scope. Set it up right for the job you want it to do. Skip the CTR - if you want something lighter and "handy", use one of your hunting rifles. On your budget, maybe look at Arken or US Optics or something further up the line but used (lots of goodies on the EE). Go Big Tactical sell both Arken and US Optics, and they are totally top notch to deal with. They also sell KRG and other great chassis systems.
I've run Vortex PST Gen 2s on all my bolt guns for several years now as they seem to cooperate with my eyeballs better than the Bushnells and Nikons I've had in years past. That said, glass in the newer ones - to my eyes anyway - isn't nearly as good as that in the ones from around 2018-2020, so I'd probably look elsewhere today if I had to replace them.
Like someone else said, if just bench shooting 90+% of the time, skip the bipod and invest your bipod $ in a decent set of bench and rear bags. I got my Armageddon Gear bags at one of my LGSs (Victory Ridge) and they're great. YMMV.
Good luck and have fun!