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I think I have the thing you need but a quick look online seems to reveal they are not being manufactured any more. A mini workmate - top is a vice and the base is a tool box.
Another alternative could be a small vice mounted on a board - I think Screwfix do these. Again, I have one of these and i clamp it to my work bench when I need it and remove it for storage.Edit - found a pic online
Further edit - available on eBay https://www.ebay.co.uk/itm/Vintage-Black-Decker-B-D-Workmate-Workbox-WM450-With-Inner-Tray-12-PICS-/274886362765?mkcid=16&mkevt=1&_trksid=p2349624.m46890.l49286&mkrid=710-127635-2958-0
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Or a totally plain top and some kind of cunning vice that could be stowed inside a shallow box with the lid inverted, maybe.