You need to do what’s best for you, OP. My advice to you though would be to never disqualify yourself for a role based on your stutter. Equality, Diversity and Inclusion is a big thing with every employer and someone having a stutter shouldn’t be a factor in them getting/not getting a job I especially wouldn’t reject myself from jobs if I was qualified as you say you are. You can get a job with a stutter AND you WILL get a job with a stutter. All the best to you, my friend