Technics SP15, 3 speeds, S arm allows removable headshells
https://www.georgemeyer-av.com/technics-sp-15-direct-drive-turntable/?refsource=hifishark
see technics specs, these can compete with nearly any other model, new or old.
https://vintagetechnics.audio/turntables.php
I bought one, gave it to my friend, recently installed their B500 base on it which is awesome and allows easy changing arms to either straight fixed cartridge or S arm with removable headshell. Loosen ’lock’, slide arm out, slide other arm in, tighten ’Lock’. Contacts are integral to the arm/base.
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base with straight arm is shown on this VPI
VPI is over your budget, but seller says make offer.
I am near Tom's River, if you were seriously interested, I could drive down and check it out, see it operate, get answers to any questions you may have.