At least your local shop says they'll do it. This is one of the topics that started me not trusting my LBS choices.
Twelve years and 100 pounds ago I popped a spoke on my 3 speed cruiser, and trying to get it fixed was... well, absurd.
The first shop I took it too dropped the F-bomb "get the f*** out of my store with that fake bike internal gear s***!". Apparently if you didn't own a mountain or racing bike "GTFO" was their stock response. Wonder why they went out of business like eight years ago?
The next shop told me they don't re-lace wheels... it didn't need a full re-lace, it needed one spoke replaced. They've moved out of town, their location is now a dentist office.
Another shop tried to sell me an entire bike. How these clowns are still in business is beyond me, especially now that they send you across the highway to another shop for any real repairs.
The final "viable" choice -- that place across the highway -- said they'd do it, then balked when they saw it was an internal hub so a non-standard spoke length. They also started bitching me out because it was a coaster with no front brake. This is the shop that I often describe as "well meaning, nice people, they try... but ultimately useless.".
After all this is the place where I asked for four 8 speed master links, pointing at the SRAM ones on the shelf behind the counter, and the girl had to go ask if I was asking for the right ones, then tried to sell me two of them when I asked for four. And where I asked about a "rear rack" that would fit ON a fat bike and the guy tried to sell me a rack to carry bicycles on the back of a SUV or pickup. I kept saying "no, one that goes ON the bike,", ended up walking away.
But at least they don't seem to try to treat customers as marks and rubes.
So the remaining choice was to transport it over the hill to the next state over as I knew the shop in Vermont would do it... but I chose a different answer.
I chose learning to do it my damned self. Again, it's a bicycle, not a rocket ship. Pretty much any time something's gone wrong in biking I've had to learn to DIY. Trusting others for repair seems an utter and complete waste of time, effort, and reliability.
Again, why when people say "just take it to your LBS" I have to choke back the stream of expletives and interjections. Must be nice to have local shop that doesn't try to rip you off and has some measure of competence.
Sadly where I popped it was like eight miles from home in the middle of the woods, so walking it back was impractical. The ride back ended up breaking two more spokes. I was shocked the rim held up and wasn't deformed, and that "bad things" didn't happen to the tube. Seriously thought I was gonna need another rim when that third spoke snapped.
I got lucky though, they were at roughly 120 degrees to each-other around the perimeter. Which is... strange.
Thankfully having shed all that weight I've not had a spoke give out in eight or nine years. Even just that first 60 pounds was a major difference in how often I had to repair stuff on the bike. I don't know how actual "big" people deal with it... like my neighbor who bikes regularly and is something like 6'4" and 300+ pounds. Which he carries way better than I did the 280 pounds at 5'4"