Alright, this may not apply to you, but it may save you a good deal of cash, if it is the problem, who knows.
I have an 87 LX which damn near identically makes the same noise you are describing, almost.
The noise was coming from the front left of the car, I could just swear up and down all day long it was.
I inspected it over and over and could not figure out what the hell was going on, I was afraid a damn wheel was going to pop off, but aside from the noise it seemed to be doing fine.
Not having any money to blow really, I kept postponing and waiting to have it looked at by a mechanic.
I finally made a trip back to my home state where my parents used to own and operate (mechanics themselves) an import garage (20+ years) which specialized in Hondas ever since the first one was sent over to the states. Unfortunately due to profit margins they closed shop a few years back due to extreme competition, but they still service old die-hard customers in their home garage.
I found out that 50% of the time, if you sit your ass on the front left fender and bounce up and down, it would make the same damn noise.
Of course I tried to show my father the noise by bouncing the front left of the car with my ass and hands it wouldn't make the noise, but when I parked later in the same spot I tried again and it made the noise. Go figure. Kinda like smacking an electronic device and it becomes operational again, but not always.
He told me to pop the hood after not seeing anything under the front left of the car that would be making the noise. Everything looked good.
In the front right of the engine bay (FL fender side) there is the casing of the strut tower, likewise of the one on the other side of the engine bay.
There is a black rubber/plastic cap ontop of the casing and he used a flathead screwdriver to pop it off. (might had been screws holding it in place also..I forget in all honesty)
He then told me to bounce the car up and down, so I did.
What we saw was the top of the strut tower not bouncing up and down along with the rythem of the body/chassis. Which is not cool. The strut tower was stationary.
He tightened the bolt ontop holding it in place down to where it should had been, and told me to try it again.
The top of the strut tower afterwards would bounce up and down with the rest of the car, it was tightened/locked in place where it should had been again.
We went out for a test drive and presto, no longer any noise.
The noise of my own description was a "squishy metallic" noise. It wasn't like...KNOCK KNOCK KNOCK. It was a brief continual metallic rubbing squishy noise. The best I can describe it.
It would make the noise going over even the slightest bump in the road. If you were cruising going straight down the freeway, it would not make the noise unless you did some serious turning.
On the other hand, it could be your CV boot has had one too many rocks thrown up at it, and the CV boot has cracked open and is either leaking out its grease or has no grease at all in it now, and will make a similiar noise.
It really pisses me off when I have quirks happen to my Accords, and I can't figure out for the life of me what is going on, and afterwards I find out it should had been totally obvious, if I had inspected a little further.
I also had a CV boot on the front right side of the car replaced later that day, we found that it had been cracked open and was leaking grease, my dad and I up at my grandfathers car garage were suprised it hadn't been metal rubbing on metal by that point, but it wasn't.
All totalled it costed me $63 to get the CV boot replaced, a new rotor, one new front brake pad, transmission fluid changed, oil filter, and a new fill of Mobil 1 Synth.
Aside from warranties, if you can find someone around your area who KNOWS Hondas, and has worked on them for a couple decades, to hell with the majority of the Honda servicemen. Honda will bend you over and make you pay for it.
