In that budget, my first choice would be an original Diono Radian. It's $199 at Target, easy to install with LATCH, slim, long time rear facing, and will go all the way up to a booster seat. Travels and stores well, because it folds up and is the size of a plane seat.
My second choice would be the Britax Emblem. Same cost, but I hesitate be cause the HUGS pads on the straps can be in the way for a rear facing baby and push the chest clip too far down. You can removed the HUGS, but most people don't. I like the Britaxes for travel because the overhead anchor often connects to the base, creating two straps to be able to throw the seat on like a backpack.
Third choice would be a Graco TriRide. It's a little cheaper, at $150, but has the headrest-adjustable harness like Britax. Concern: I can't tell if it has a single LATCH strap running through the base or two individual ones. Individual ones are easer to adjust, IME.
Depending on the cars you drive, you want to look at the manuals at all three of these to see if they're allowed to touch the front seats when rear facing. If not, the one that gives you multiple recline options or a shorter frame might be a better bet.