Welcome to BL!
Generally dropping no more than 1mg/week is recommended for folks under 20mg, so I'd spend at least a week stabilizing on your current dose before dropping again, and then dropping no faster than 1mg a week for the rest of the taper. There is no shame in taking a week or two off here and there if it gets to be a bit much. It isn't easy, but you'll benefit in the long run if your plan is to taper much lower. And if you need to go up a bit if it gets really tough, there is nothing wrong with that either. Basically you want to find a middle ground between keeping yourself comfortable and continuing to move in the direction of lowering your dose.
Your dose is at the point where you really want to be organizing your inevitable detox off methadone, so I'm glad you are reaching out about this. I highly recommend working with a doctor who is able to prescribe buprenorphine (or willing to prescribe something like tramadol, though these are less common). I also highly recommend organizing what you'll be taking in terms of other comfort meds.
Basically the big thing here is FINDING a doctor willing to work with you and prescribe the following medication to get you through the detox process: one-two weeks of buprenorphine (2mg twice a day), gabapentin (800mg two to four times a day), clonidine 0.1mg once to twice a day), diazepam (10mg twice a day) and a non-habit forming sleep aid (such as trazodone). There are other meds that can be helpful, but that combo (or variation on it) is the gold standard when it comes to detoxing off methadone.
When I got off methadone I had been on it for about 2.5 years. I tapered off a high dose of 90mg over about 1.5-2 years of that. The final dose I jumped off of was about 14mg. I used codeine to for three days to help more easily induct on buprenorphine, then used gabapentin+clonidine+diazepam+buprenorphine+trazodone for a week. Then I used gabapentin and trazodone (I had also been taking buproprion) for the following month or two, then just trazodone for maybe the first 6-9 months. It's been well over a year since I last took methadone now, and opioid free.
Getting off methadone is nothing like the horror stories you hear when done properly, and given the right supports (pharmacotherapies as well as more developmental and behavioral approaches, ideally all in conjunction) it isn't very painful. Of course, I'm not saying it isn't incredibly difficult. Chances are though, if you listen to your body and take care of your basic needs without getting to tough on yourself, the process will surpass all your expectations (in a good way).
Whatever you do, I would not suggest jumping off methadone until you have some comfort meds lined up (at a minimum).
Do you have anyone or are part of any communities IRL that you find supportive in this process? Do you work with a therapist you like and have found helpful? Are you going to have to find a doctor outside the clinic to write you comfort meds?