Each portal - Global Source and/or Alibaba offer inspection services. Not to knock the idea, but some vendors also work with other factories and they can source a pre-certified widget on your behalf. If you want private markings on the product, then likely a tooling fee + larger MOQ will apply vs. off-the-shelf designs that are neutral in packaging / nameplates, etc.
Check the credentials of the certifications and you can cross check them against the body they claim to be compliant with. For example, if UL approved, you should be able to locate these details on the UL database and their website. For us, as an example, had volumes of MFI compliant USB cables - we paid for the approval process but before starting, confirmed that Apple indeed recognized the firm to be a MFI partner. In the end, our company name, with our new batch of USB cables are listed on the Apple website. All legit as all parts were blessed by Apple in the process and they also have samples of our final products.
I am assuming that the USB products you are after are generic in nature so many vendors should offer these. The vendors in Asia are not shy to drop names of who they supply - I recall many threw out 'Walmart, Home Depot, ACE Hardware, etc." at the trade fairs. I bumped into the buyers from Mouser (they had branded T-shirts on so hard to miss) in HK. If you really are happy with a vendor, consider to hire one of the many audit companies so you can receive a full view of pending business partner. They will take pics; inspect their facility and let you know if the small details that you may miss.
Want to repeat a small story - during one of my visits to HK, a good vendor overseas stated that we should exchange business cards and have each other's contact details on our business card for future dealings. That is, we will then have a 'HK office' and vice-versa for us in Canada. In addition, if any customer wants to visit the HK / Shenzhen factory - the entire staff will greet myself as the CEO for the day. He stated this is very common practice. Lots of smoke & mirrors in the act. With enough dialogue and research, you will know the real manufacturer as compared to a trading company who may not be around tomorrow.
Want to throw out a name for USB power devices and that is LVSUN. They are a solid company and we have bought products from them. They are always at the fairs and have put out product under other private labels. They have true approvals which they can back up with documents. You can always send off samples of any of these goods to TEST labs that will do just that, inspect the quality & perform EMI / electrical tests on your behalf. We have done this for the military, Dell, HP, Foxconn, etc. for their demands.