First off, not sure I can suggest using a 4 weight line with a 5 weight rod. It will not "Load" the rod properly for any type of short casting. I wouldn't like it. If you must buy a 4 weight reel, put a 5 weight line on it and use less backing…
I have not researched every reel out there but check it out –
Scientific Anglers System 1 – ~$60 3.9oz
Click pawl, great for line storage, used it for many years. Drag isn't really good at all but…You probably won't need it…And if you do get "Caught" by a big fish use the palming rim. Not large arbor though but you'll live.
Scientific Angler System 2 – ~$100 4.1oz
Disc drag (And a nice one) Again no large arbor.
Orvis Battenkill BarStock II – ~$120 3.5oz
Same as above.
Orvis Battenkill Large Arbor – ~$200 4.1oz
Large arbor good drag $$$
System 1 and call it a day? :P
I'm sure there are a lot of others out there but these are just some off the top of my head.

