Modat22 writes:
Oversize your electrical feeder to your shop and size the breaker in
your outside box for the over sized wire.

The breaker in the *house* should be sized for the feeder wire. The
breaker in the *shop* should be sized for the *shop* wiring.

I.e.:

100 amp breaker in house, feeds...

wire capable of carrying 100 amps, connected to...

60 amp breaker in (or outside depending on code) shop, which protects...

circuit breaker panel box rated for 60 amps, which contains...

20 amp breaker, connected to...

wire/receptacle rated for 20 amps.

Breakers are always sized for the things they can disconnect power
from, not the things between them and the power company.

(All the more reason why *my* advice is to visit the inspector
*before* starting anything)