Hello Richard
You do not say how small the TV is. I have a 'small' 17" flat screen mounted on a bracket in the kitchen at home, but used conventionally in the van.
I think it is most unlikely that you could achieve a secure mounting. The bracket and tv are surprising heavy and would likely destroy any wall or cabinet mounting through movement when travelling, as a solid fix for all 4 bracket screws would be a problem?
You should also check the tv bracket mounting points, as these may be into plastic components rather than metal and may also fail when travelling