Generally motors with two capacitors, one for start and one for run, are the considered the best type of general purpose single phase motor being up for virtually any suitable job. At a price.
Starting loads on a power hacksaw are low so simple capacitor start or induction start will be fine.
The type to avoid are the ones with a permanently connected starter winding, ie no centrifugal switch. These are intended for fan or similar use driving very specific load. The act as a sort of two phase motor and are usefully more efficient than a simple single phase motor at the specified load but have very limited ability to cope with different loads. Outside their sweet spot they rapidly get hot and melt the winding insulation.
Rule of thumb these days for new or not very old second hand motors is that if it has a capacitor it will be fine. Simple induction start motors seem to have fallen out of favour in recent years despite working just fine.
Speed range for power hacksaws in generally between 50 and 130 strokes per minute. 80 or a bit less is probably a good compromise for home shop use.
More than you ever wanted to know about blade speed here :-
https://diamondsaw.com/resources/power-hacksaw-use/
Compared to hand saws and bandsaws recommended power hacksaw blades seem very coarse pitch.
Clive