Cherry MX Blues for typing. I love my MX Blues, but they are awfully loud. You can use rubber o-rings to dampen sound a little, but my god MX Blues are still terribly noisy.
MX Browns have a similar feel to Blues, but are less noisy. MX Browns are a good compromise if MX Blues are just a bit too loud for your liking.
MX Reds I wouldn't bother with, especially if you're doing lots of typing. MX Reds are typically better for gaming, but at this point, you'd just get MX Speeds as the better switch for gaming. That said, MX Reds are still A LOT easier to find than MX Speeds.
Rosewill MX Browns
Cheap, nothing special, but will get the job done.
G.Skill KM780R MX Browns
$5 more with RGB LEDs, but this is pretty gaudy and 'gamery' looking
Das Keyboard Model S, MX Browns
Pricier, and no LEDs, but a nice keyboard.
Das Keyboard Prime 13, MX Browns
White backlighting for an extra $10. Other than that, pretty damn similar to the Model S.
You can sometimes find a Corsair K70 RGB with MX Browns for $140-150, but stock is never great for them. K70 is a brilliant keyboard though, well worth the money if you find one with the switch you're after. Maybe check trusted sellers on Amazon.
CM MK Pro L, MX Blues
Nice keyboard with RGB LEDs. Personally, I'd be choosing between this or a K70 RGB with MX Blues probably.
Das Keyboard 4 Root, MX Blues
$10 over budget and isn't backlit. Nice keyboard though. You can also get the Model S that I linked above with MX Blues. Model S with Blues or Browns are both the same price anyway(within budget).
Last MX Blues suggestion;
Mentioned it already, and this should also usually be <$150 but is currently $20 over your budget. It can be a bit of a tough sell at that price with the amount of competition there is, but the K70 really is a great keyboard. I doubt you'd regret buying one for $160, but I also doubt you'd regret buying a $120 keyboard lol.
Lastly, if you want MX Speeds, then K70 is your only decent choice that I can find;
Best Buy $130
Amazon unfortunately only currently have stock of the "SE" K70 with MX Speed switches, and it's $20/25 over your budget. If you wait for stock, or buy from a trusted seller on Amazon, then you can get the standard edition K70 with MX Speeds for $150, or the low profile(just lower profile keycaps) version for $130.