I will second (third?) the suggestion to establish a rough budget
as the definition of a small purse is quite relative. What I consider a small purse would be a bit different than the definition of a Wall Street banker (gee I have a small purse since I can't afford a yacht as big as Larry Ellison's).
Also, offshore can have a different meaning to different people. Offshore could mean to the Caribbean
from the east coast
US or transatlantic. The later would require more consideration of tankage and stores since you would be looking at much longer passages and much further from re-supply.
As far as singlehanding
, I have owned sailboats from 32' to 65'. Rigged properly and with good sized winches any of them could be sailed singlehanded. To me the limiting factor is how large a main sail you can carry (or drag) on deck
and bend to the mast
. Other than that a big winch
will let even a relatively small person hoist and trim sails
. The other factor is docking
. Even if you live on the hook you have to come to the dock
For me the max limit for comfortable handling is about what I have mid forty foot range. Others don't feel comfortable above the mid-low thirty foot range.
I would personally go lower than about 30' as smaller your storage
is more limited and space can get cramped, even for one person. Also as the boat gets much small the motion in a choppy sea is less comfortable.
So good luck and look forward to hearing more from you.