I ride steel on the road for a FGSS but wouldn't ride it on the track ever again.

On the track the steel frame noticeably soaked up the downward pressure I exerted during accelerations and I could feel the whole bike twisting during standing starts. My aluminum track frame does nothing but go forward when I push the pedals. I'm a strong 195 lbs and race in the A category locally FWIW.

On the road I'm sure you can find a nice aluminum frame meant for casual street riding that isn't super stiff or harsh if you do a little research but some nice chromoly is tried tested and true.

My suggestion would be to get whatever you want for the street and don't worry about the track. Most, if not all, velodromes have loaner/rental bikes that you can use to get your feet wet and if you decide you like racing and can afford it you'll buy a dedicated track ride.