most alternator rebuild shops are gone these days. just go to autozone and buy a rebuilt from them. they usually work fine, and if it doesnt autozone will replace it no questions.
That's a hassle though and the main reason why I wouldn't buy a rebuilt alternator for a car I'm relying on as a daily driver. The risk of being left stranded on the side of the road is just not worth it even if I saved $100 vs going with the OEM Honda part.
I used to work with a guy who had a Fox body Mustang. They were notorious for failed water pumps at around 90k miles. He would buy the NAPA water pump with the lifetime warranty and about a year later that one would fail so he'd pull the pump, take it down to NAPA and get a replacement which would fail about a year later. I think the NAPA part was about half the cost of the genuine Ford part (I know, because I had a Fox body Mustang GT at that time) and ended up putting a Ford water pump in it. I never had to deal with it again.
Drain the cooling system, remove the fan/fan clutch assembly, remove the water pump, clean the mating surfaces, replace the gasket, install the pump. It wasn't anywhere near being worth the hassle for the $75 you would save buying the NAPA part with the "lifetime" guarantee.