I'd recommend going even further than a 70g rated skimmer for a 60g tank.
The Deltec MCE600 Skimmer I was running in my 60g was rated for 120g for a heavily stocked tank or 200g for a lightly stocked tank.
Realistically it's probably only good for normally stocked reef tanks up to 90g or so.
Maybe the
RS100 or
RS135 Euro Reef skimmer or something similar, might suit your needs.
.