A real track or dedicated fixed gear frame has a higher bottom bracket, which greatly reduces the probability of pedal strike to almost zero.

If you really want to support your lbs, and I can understand that.
See if he/she can get you a Surly Steamroller Complete.

Webcyclery has the Surly Steamroller Complete for a shade over $600, and you get a steel frame and fork that will last forever; will accept fat tires up to and including studded tires; will readily accept fenders; and already has a front brake.

I ride a seriously upgraded Pista and love it, but, if starting over, I would look hard at the Surly Steamroller Complete.

Surly designs good frames and forks, and whoever makes them for Surly does a good job.