I have had all three arms here that you mention, on different tables and at different times. It is hard to separate the sound of an arm from a table and cartridge, so any definitive comment on SQ is a bit of an extrapolation at best.
However, the ST 250 is not a well built arm, I would consider it a step down from your Grace.
The Project has a nice arm tube and bearings. However the internal wiring is a bit suspect, and the cartridge clips are prone to falling off. If you were to rewire it, then it could be better than the Grace.
The 303 is a decent arm, but no VTA adjustment. Once again, one of those kind of arms that has performance left on the table. Wiring upgrades, counterweight upgrades, and VTA adjuster make it a complete arm. But then you get into the price of an Audiomod.
The Audiomod Classic II is one of the better values in the world of tone arms. It is really a distinct design that uses a heavily modified Rega arm wand and cue device. Otherwise everything else is different. And even the wand modifications change it to an entirely different beast. The build quality is stellar, and I got no idea how Jeff Spalls sells this arm for what he does.
My next favorite, is the SME M2-9, which can be had from the North American distributor for around $1K with exchange rate. As I read the website, its $1199 CAD, so the exchange rate should get it closer to $1K. But i could be wrong, perhaps the website adjusts price for where I am.
But if you are looking for a new arm for $500 or under that is going to be better than your Grace, its not likely to happen. It will even be hard to find a used arm significantly better than it for under $500. Unless you are running medium-low/low compliance moving coil cartridges that want higher mass than the Grace has.
But that is just the opinion of a simple country pig. We like good food, warm sun, and soft hay. If you want a different opinion, go ask the cows for they are wise. Do not talk to the chickens, as fowl are known liars and they cheat at cards.
Regards
Mister Pig