Vibration On My Avalon, I need help Options

[remrimsgems]

Brought it to the mechanic and they can't figure out what is wrong -so they told me to come back next week.

Anyway, my car vibrates and I wonder if it is a recall that I missed. It basically vibrates at low speeds when accelerating near 35 mph. I doesn't seem to vibrate at high speeds above 40-50 mph. The tires were checked already and they are fine. The abs also seem to grip or "work" in dry clean surface when at speeds of 1-10 mph almost all the time whether I'm moving forward or backward.

Anybody have an idea?

It is a 2002 avalon xl.

I've heard somewhere that it could be the crankshaft?

I also need to drive it for 3000 miles next month - I wonder if its safe.

Thanks.