It depends (shocking answer).
Are you looking for pre-War, post-War vintage, junk wax era, shiny modern? Are you looking for a PSA 10, 9, high-grade for the era, rarity, HOF player? I would think 5K would get a very nice card that you could be proud of. Here's a list of post-War ~5K cards that I priced today:
1956 TOPPS 33 ROBERTO CLEMENTE WHITE BACK 8 5,146
1954 BOWMAN 65 MICKEY MANTLE 7 5,110
1953 TOPPS 220 SATCHELL PAIGE 8 5,055
1957 TOPPS 35 FRANK ROBINSON 8 4,993
1949 BOWMAN 226 EDWIN SNIDER 8 4,980
1979 O-PEE-CHEE 18 WAYNE GRETZKY 6 4,888
1961 TOPPS 300 MICKEY MANTLE 8 4,884
1967 TOPPS 581 METS ROOKIES B.DENEHY/T.SEAVER 8 4,766
1956 TOPPS 30 JACKIE ROBINSON WHITE BACK 8 4,719
1948 LEAF 93 BOB FELLER 5.5 4,500