Yes, $75 is enough to buy a decent razor. If you are frugal and handy, $75 could go a long way toward a complete setup, without hones. But hones can be added over time. You could probably fit a barber hone into an initial $75 razor budget.
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For shipping + about $20 you can get it honed by someone that understands
and knows razors. If it can be sharpened they can and more importantly they
can tell you if it is worth investing more....
The least expensive honing solution I know of is abrasive film
from Woodcraft. Honing Film Assort Pack - 3 Pieces
it contains 15 micron, 5 micron and 0.3 micron abrasive
film. Glue it to something very flat and stable that is resistant
to water. I have some pieces of tempered glass...
You could use a cut bit of granite or marble tile or even
scrap counter top drop. I can get a decent strop ready
precision edge from these films.
Good for one or two razors...
We say this because you need to know how a real straight razor should shave first. It's not just "well it's sharp enough to cut hair" -- it's more about comfort and smoothness. Imperfections are probably acceptable on most normal edges (e.g. kitchen cutlery) but it's a different story when you're using it on your face.
Honestly, I'm still suspicious about the razor you posted pictures of. I'm with rickboone in thinking that's a razor probably on our list of razors to avoid. No point in spending time and money on that.
Get a proper razor as you've said you would, see how it feels, then get some inexpensive vintage razors if you'd like to learn how to hone and upkeep them.
EDIT: Whoops, I totally missed that there were two more pages of posts.