Lately a friend told me he thought he wanted a bench type bandsaw so I looked into them for him, turns out I couldn't find one with any more than a 1/3rd hp motor which is pretty wimpy as bandsaws go.
As a bow maker I started out with a 1/2hp American made Craftsman that served me well over the years with a 3tpi blade. I bought a Rigid from a friend that had a 1HP motor for more power, turned out the Rigid was such a piece of junk that even a Rigid service center couldn't get it to run and cut correctly.
My craftsman; these come up regularly on the Facebook market place, I have seen them from $75 to $250 with $100 being the most common. Some of the later ones were 2 speed with a slower speed for metal cutting.
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I had sold my Craftsman when I bought the Rigid, Rigid sent me another saw in the box, I sent it to my brother unopened. It turned out it was a return and was missing a lot of parts. It took him a year to finally get it running.
Fed up with trashy saws, I got off my wallet and bought a 2hp Griz, that was 20 years ago, this saw will outlast me.
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A benchtop saw is a toy, you will never regret buying a more powerful saw, everyone I know who started out trying to make bows with a benchtop didn't keep it long and moved on to bigger and better saws.