The cross sections for fusion reactions are significantly less than 1000th those of elastically bouncing off, even at the optimal velocities. Fusion reactions release about 1000 times[2] the typical energy needed by the reactants in order to get close enough for there to be any significant probability of reaction. So a one-pass beam system is always going to lose out to elastic scattering.
[1] https://en.wikipedia.org/wiki/Nuclear_cross_section [2] D + T releases 17.6 MeV of energy; typical fuel temperatures are 15 keV.
https://newsroom.unsw.edu.au/news/science-tech/laser-boron-f...
https://revolution-green.com/breakthroughs-make-commercial-l...
Other: Google for "LENR". Some people claiming (for years) they are near to success.
For instance, lithium-6 is a stable solid metal with the right nucleon composition and binding energy to fuse into carbon-12. I have no idea if it actually would to a useful degree.
To dismiss my half-assed idea by pointing to another, I'd bring up something more comparable, like inertial-confinement fusion.