I have a NIB/Unfired orig T3 Hunter .300 winmag here in the Rokslide Classifieds for $650.00 spend the rest of your budget on good glass/diff stock if you prefer synth.. Comes w/Tikka/Burris rings (also unused).
https://cincinnati.craigslist.org/grd/d/glencoe-vault/7267817567.html
This was the only one I found on CL that would poss. be cost eff. IE sub $2000.
https://hoogerhydesafe.com/vault-doors/used/
some lighter ones lower half of page > https://zykansafes.com/antique-vault-doors/
Good $ variety...
Know what you have by serial # look up...and then do general google search w/for sale. Also search the gun site classifieds for same guns. Some sites show sold for etc. It's a rabbit hole but can be a fun one.