hello Nick, @earthNZ.
Reading up on the LST 1 speakers..., users that have them say they like power..., and the M500t should give it to them at stock rating. Since the m500t is rare, in NZ..., if I were in your shoes, I'd buy it (if the price is right)...
Audio hobby is a journey..., not a destination..., you might find you want to get the upgrade to MkII, you might find you want different speakers..., you might find..., 😉 who knows.
...worst case, if the price is right on a rare Carver item in your region, you can flip it.
Reading on some of the other audio forums, they point out that not enough wpc for those speakers is problematic, for some who have experienced blown Crown amps. Carver amps are generally more robust than many. And with 300wpc, as @3M_Audio wrote, that should be in the realm of need/demand for the speakers (I have not experienced AR LST's..., only reading on the internet about specs.)
Interestingly, a post on Hoffman's forum, wrote that the LST 1s have blown amps, pushing 150wpc to them. They are rated (according to hifiengine.com) at 64wpc with a 4ohm impedance. my thinking on that is to share that Bob Carver himself pointed out that ratings are not always what they seem..., meaning that "speakers blow more often from not enough wpc, than from too many wpc." Clean high-power amplifier power is what speakers drink like water..., keyword "clean" meaning more distortion from the amp, the more likely your 65wpc-rated speakers will have issues. Bob Carver amps are known for their clean solid state power.
...now, if the used amp you are getting is not working, or needs service (it is over 30 years old - and may be stock)..., it would be good to have it looked at, checked for out of spec consumable components (like capacitors of the era, they are consumables..., and worth recapping your amp with modern caps, which will make it better than new!)
Good luck on your journey..., and hoping you post more on this thread on your system once you dive in. We love pictures!