Most contract shops do print or embroider. A lot will depend on the run size. Most smaller local shops do not really "get" the wholesale end.
Wholesale work, as an example could be like one of our customers who specializes in team products. We do 3-4 jobs a week, most in the 20-50 piece range, as this fits team sizes.
Or it could be apparel lines, where we do prototypes, salesmen samples, then a production run of whatever number is required.
You need to decide where your lines fit in and select either a better local shop that can perform wholesale work reliably, or if you need to move up to a reputable contract company. There are many across the country, and most contract work is not geographically specific. We do stuff here in nj that ships to wherever. Good old google can lead you to numerous websites, read him, get the tone of the company, then reach out and contact a. Few. Obviously if they are only a few hours away, go see them!