Disclaimer: I have not used a Surface tablet, so I'm going to assume it operates just like a regular desktop computer running Windows. If that's not the case, then wait for an answer from someone who has a Surface.

You are correct, there is no Uninstall routine for BIAB because it is installed more simply than many programs that become interwoven in the various folders. All you need to do is delete the folder where BIAB is installed. That's probably C:/BB.

There will be a few small files that remain on the C: drive, including seven Font files. If you installed any VST-type files for BIAB, they should have their own uninstaller available in the Windows Control Panel.
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I'm interested in how your BIAB performs, running from a flash drive. While it's been technically possible for a few years, the performance from our user tests back then was not satisfactory. If you would be willing to list the type of flash drive you use, and its speed, and what level of BIAB you have (Pro, Ultrapak etc.) the information may help others.

BIAB 2025 Win Audiophile. Software: Studio One 7 Pro, Swam horns, Acoustica-7, Notion 6, Song Master Pro, Win 11 Home. Hardware: Intel i9, 32 Gb; Roland Integra-7, Presonus 192 & Faderport 8, Royer 121, Adam Sub8 & Neumann 120 monitors.