Before printing my Shakespearean sonnet, could someone please suggest a (free) font that looks typical of about 1600?
How about copying right from the horse's mouth? I'm not sure which sonnet you need, but try here:
This is a Facsimile of the Chalmers-Bridgewater Copy (Aspley Imprint) of the 1609 Quarto.
There's a good font which is mock-Elizabethan from the Illinois Shakespeare Festival: it's available at the link below.
Hope it helps!