It's hard to make a diagnosis on history alone, particularly history without the opportunity to cross-examine with relevant questions. Diagnosis is about 90% history and examination combined, with the remaining 10% made up of targetted investigations ... so take what I say with a grain of salt.
The first thing is the brace won't help you, not really. It depends on the brace, to some extent, but it goes something like this.
Pain due to fracture or muscle strain is usually best relieved with a combination of analgesia and immobilisation. The problem with the latter in the context of a rib fracture or muscle strain involving the chest is that you can't immobilise it - you stop breathing and you die, after all. Furthermore, limiting the mobility of your chest in order to decrease the pain (such as you do with a brace) typically exposes you to the risk of underinflating your lungs and the complications that arise from that (pneumonia, pleurisy, etc). So ... a soft/elastic brace might help somewhat while sleeping if pain's waking you in the night, but the mainstay of treatment is going to be regular simple analgesia (like paracetamol, or a combination of paracetamol/codeine) combined with a non-steroidal anti-inflammatory (ibuprofen, for example). The non-steroidal needs to be taken with food and water, following strict maximum daily dose guidelines and for every 3-4 days you use it regularly you should have 2-3 days off it to allow for some of the adverse effects it can have your renal and gastrointestinal system to subside.
So, the usual thing I prescribe:
1g paracetamol (+/- 16mg codeine) four times a day, orally
400mg ibuprofen three times a day, orally (following the rest day guidelines above, 3-4 days on out of every 7)
If you've got any sort of problem with stomach ulcers, gastrointestinal bleeding, severe reflux symptoms, etc or pre-existing problems with renal function avoid the non-steroidal (ibuprofen). If you've got a productive cough, fever, other signs or symptoms of an active chest infection avoid the codeine as it will suppress both your cough reflex and autonomic control of your breathing (to a minor extent) meaning you're unable to clear the infection from your chest as effectively which could make your condition worse or extend your time to recovery.
Obviously avoid extremes of exercise that exacerbate any pain you've got, but don't lie around in bed either - walking, light exercise, doing your usual activities, etc should not be avoided as long as they're not causing you undue pain. If you've got areas of point tenderness that you can find, maybe warm packs will help you there - you can make your own with wholegrain wheat/husks, some cloth and some thread to sew the cloth into a bag (there's probably better instructions online as I'm not a home and gardens type of person
).
I don't pretend to really understand the limitations of the US health care system and health insurance and things over there. If you were where I'm at I'd be getting a few blood tests done, a nasopharyngeal swab to exclude things like whooping cough (it doesn't sound like that so much as it sounds like a bad flu or maybe pneumonia that's now resolved/resolving) and a chest xray. The latter would be to make sure you don't have a collapsed or consolidated lung (either through puncture or persisting infection) rather than a fractured rib (which is sometimes difficult to see on an xray and doesn't really change the management anyway).
The last thing I would advise is that if you're a smoker, now's the time to stop. Either cold turkey or with nicotine supplements.
To sum up, while you might have a broken rib that would be unusual in otherwise healthy adults following a chest infection or upper respiratory tract infection. It's not unheard of, but the more common things for the persisting pain you're describing in one particular spot 5 weeks after what sounds like a fairly severe infection would be ongoing infection (ie, pneumonia) or a complication thereof (ie, pleurisy - inflammation of the chest wall lining, usually following infection). The treatment for a broken rib is symptomatic and aims to avoid the complications of under-treating the pain. The treatment for ongoing infection and complications of such is obviously more specific.
As I said at the outset, I can't examine you and I don't have a clear idea of your past history so that limits my usefulness and diagnostic accuracy.
If things aren't getting better, going to see someone who can examine you and order appropriate investigations is the
best advice I can give.
Get well soon.