Keep the frame. Plenty of people race road on a cross frame. The canti brakes can cause issues if you have a picky official. In general it won't cause problems this season.
Start buying a cross build. Don't super fret over it. Just get a cross crank if you want. Easiest way. Mainly because cross season is right around the bend. If you aren't super into cross then just use it as a way to keep riding hard outside in the off months around a racing scene.
When you can - buy a crit/race frame. Get whatever you want. Something with road geometry. Build the rest of the build kit as you can. Brakes mainly. The rest you will already have and can move from the cross bike. Racing road on a road geometry frame is just different enough that if you think you really like road racing then you need to try it the right way.
Oh, and have fun. That's what all this crap is ultimately about.