Medications come with a recommended dosage from the manufacturer and it can be difficult persuading your doctor that this dose is too much. I am very sensitive to medications and for a long time, my rheumatologist thought I was nuts when I insisted on getting the dose cut in half e.g., when I started Enbrel. Later, she has acknowledged that as the drug became more widely used, it became clear that people are different and dosage levels need to be adjusted based on the individual requirements and tolerance. I also have fibromyalgia and studies have recently concluded that people with fibromyalgia are much more sensitive to medication than people who don't have the condition. I have to admit, it was very satisfying to hear my rheumatologist tell me about that (I just smiled and nodded, while on the inside I smirked and muttered "told you so").
It is completely normal to react more strongly to a medication when you first start taking it - over time, your body will adjust and the side effects will most likely simmer down. I've learned to start at a very low dose and once I've adjusted to that level, increase the dose a tiny bit, until I've adjusted to that, then increasing again and so on. It requires a bit more tinkering, thinking outside the box and patience, but it is absolutely possible to get to a point that balances the benefits of the medication you need while having tolerable side effects (for tips on how to manage some of these side effects, check out a post I wrote a few months ago). It's very possible that you rheumatologist will ask you to try the meds at the lower level of the treatment hierarchy before you try Biologics. The Biologics or at the very top of this hierarchy and therefore come with more serious side effects and where it's absolutely a risk that's worth taking if you have no other options, it's a good idea to make sure you don't have other options. Give the meds some time to slowly build up to a level you may be able to tolerate, but if you can't, then you go to the next one up the line. Doing it this way, I managed on methotrexate (at about half the usual recommended dose) for a couple of years before I had to move onto something else. I tried Arava, but couldn't tolerate the side effects, so that was very quickly eliminated and then I went onto the Biologics. So it is possible that they may be some medications you just can't handle, but is worth giving it some time on the lower dose to find out if there's a less severe drug that can help you.
I am a big fan of supplementing traditional Western medicine with alternative therapies, but I am pretty sure that you can't achieve any level of suppression of RA with alternative medications or by going the natural route. In order to protect your joints and your ability level, you need a DMARD medication, such as methotrexate, Arava, Plaquinil, Enbrel, etc. Although there's such a thing as spontaneously going into remission for mysterious reasons, you can't count on it. If you don't do something to treat your RA, your pain levels are only going to get higher and your mobility is going to get more limited. I understand your hesitation, but please, do get treatment. You don't have to live like this. There are ways around it.