If you did want to have one last go with something small then I'd recommend the Specialized Airtool MTB, my go to pump for 10 years with 32/28mm tyres normally at 80psi. Though designed for lower pressures I've found it works very well with road tyres and is by far the best small pump I've come across/tested. The pump will do 60psi easy, more if you can be bothered.
I've got a very nice polished alloy Raleigh pump from the 1980s that I need to test but I have a solid white coloured AFA on my Carlton that I know works very well though I haven't used it in quite a while.
luck hunting