I would take a look at
this one. It is a 2 X 42, not a 1", but I KNOW this grinder will do well as a light duty all around shop belt sander if you use ceramic belts on it. I've ground lathe tools, chisels for SDS guns, a few knives, wood and mild steel for fabrication and it works well. It is a bit wimpy with its 1/3HP motor but the ceramic belts turn it into a useful tool.
The good thing about this thing is that you can replace the junk mild steel platen with a piece on angle iron overlaid with a flat steel platen, then epoxy on a Pyroceram platen liner on it. THAT platen will stay dead flat for a decade or more of hard use. What is even better is that the platen will be rock solid and will not move; this is important for tool grinding or when doing general work that requires some precision. Every 1" belt sander I've seen has a flexible platen that just won't do for any serious grinding. My suggestion is that you avoid them.
The other good thing about this grinder is that it is simple to make a good tool rest, provided you can weld. If you intend to grind tools on this thing then a good rest is essential. If you just need to do general shop grinding then the stock table will do but know that it made from cast aluminum and will drag and catch when you grind steel. It is fine for wood, though. You are far better off making a good table from steel and make sure it is adjustable for angles and you'll be good to go.
Lots of other options that all cost more money. Heck, this grinder used to sell at Sears in a 1/2HP version for just $100 but they are no longer available. You might find one used on CL if you're lucky.