The Woodsman engine was in a higher state of tune than the Stock Bullet, so I'd go for a colder plug (i.e. one meant to run in a hotter engine), N4C or N3C, NGK B7ES or B8ES if you can get good ones and not cheap copies. Champion for preference!
UK 500 Bullets had 1 1/8" 389/9 Monobloc carbs with 30 pilot jets, 3½ throttle slides, 106 main jets, needle position 2, 200 main jets with air filter. For 1959 with the big head Bullet engine this was changed to a 1 3/16" 389/34 Monobloc, same pilot jet and slide but with the needle in position 3 and a 220 main jet, with a recommendation to go up to 250 if running without an air filter. That might not be exactly right for your Woodsman engine but it ought to be pretty close. Are your float needle valve and its seat in good order?
A.