1999 Dodge Caravan vibrating

First thing to do is the next time it start smoking, you open the hood and visually inspect for the cause.

Smoke is a bad thing, you could be driving a fireball waiting to happen.

What does the smoke smell like?

Next time you smell it, get out and put your hand on the both front wheels close to the center, they will be slightly uncomfortable to touch, but you should be able to stand it.

If it's too hot to be able to keep your hand there for 10 seconds, then your brake is most likely dragging.

If you have plastic hubcaps, you will have to remove them.

Since you did change it, it is possible, but not very likely.

The 3 more common problems that keep the calipers from releasing are.

The hoses are bad on the inside and acting like a check valve keeping hydraulic pressure in the caliper.

The piston seal in the caliper is worn out and not helping to pull the piston back into the caliper.

The caliper can not slide freely.

I've never heard of such, that's a new one on me.

Ok, I have a shot in the dark idea.

If you have the master cylinder too full of fluid,
and when the engine gets hot, it is causing thermal expansion of the brake fluid, then the fluid doesn't have any place to go, and creates pressure in the calipers.

That's all I can think of.

I've never seen a master cylinder fail in such a way.

Try one thing for me and i'll maybe buy into the idea.

While the calipers are released, start the engine, but do not touch the brake pedal.
Check the calipers to see if they tightened up on the rotors

Well I didn't want you to step on the brakes when you started the engine.

From what you just said, i'm saying it's a problem with the hose or caliper on the right side.
I give it 80% chance of being the hose.

EEK!

Now we see what's going on.

As a mechanic, for safety reasons, I have to tell you that every rubber part in the system needs to be replaced. And the system completely flushed with new fluid.
I've delt with this problem a few times.

I had to replace the maser cylinder,

the font hoses,

I normally try to rebuild the calipers myself with a new seal kits if they are a lot less that a rebuild caliper from the store (and I never trust rebuilt parts anyway)

the rear hose, (or hoses)

and slave cylinders or calipers.

So far, I have not had to replace the ABS unit, but it is a possibility that it could fail at a later date.

What you do will be your own decision. But I will tell you a bedtime story.

Customer comes in.
Accidentally put power steering fluid in. And the master cylinder had failed,
I tell them that they need to replace everything, But since I'm just a dumb mechanic and don't know anything, he insists that we only do the master cylinder.
We refuse and he takes his car, saying that he'll do it himself.

About 2 months later it comes back on a flatbed.
One of the rear wheels was locked up and had a flat spot on the tire.
(a flat spot is where the tread is worn away, and the tire is no longer round)

I noticed the car, and requested that the writer assign it to me.

We pull it in with a floor jack under the locked up wheel and I start checking things out.
The master cylinder was new
the front hoses were new
the front calipers were new
and now the right rear caliper was locked up.

I'm betting that he was replacing one piece at a time as each one slowly failed.

So I got to replaced everything this time,
and he had to buy a new tire as well.

The service writer "played dumb" when the guy came to pick it up and asked what happened.

The guy said the wheel just locked up while he was on the outer road, (that's a 45mph zone).
It could have happened on the highway.

You are driving a minivan, so i'm going to assume you have kids.

Do what you think is best.