Brandon,
You have repeatedly stated that you need a bass capable of playing classical music. I agree with you that a Kay or, for that matter, any plywood bass, is not the best type of bass for classical work.
This leaves you with two options: 1) a hybrid (carved top/ ply back and sides) or, 2) a fully carved bass (all solid wood). To buy a decent hybrid, you need to shell out at least $1800-$3000. For a decent carved, plan on a minimum of $3500 and up. Yes, you MAY, by chance, find something cheaper. Most likely, you won't.
A hybrid bass is more than satisfactory for a student like you. There are many basses available from such firms and dealers as Shen, Christopher, Eastman, Strunal, Lemur, Upton Bass, KC Strings, and the String Emporium. All of these outfits also sell carved basses. You, your folks, and your teacher need to check these places out.
Here is one other option for you - There's a guy, Steve Loeb, in New York who is closing out his late father's music business. The place is called Ideal Music (Link Removed). He does not have too many basses left but he does have some decent Romanian hybrids for $999 and Eberles for $1599. These are all good basses BUT they will require that a local luthier do a set up and replace some parts ($300-$700). Many folks here , including me, have bought basses from him and have been pleased with the results. It will take some work on your part but you could get a decent bass for less than $2000 (you need to figure shipping charges of about $250).
Unfortunately, just going to some local music store with one or two basses on the floor probably will not get you what you need or want.
Good luck. Please understand that folks here are trying to do their best to help you.