my best advice is to do a google or yahoo map search for businesses in Cleveland, then search for recording studios. that will narrow down the search. then you will be able to check out the websites or contact the studios for rates.
i'm not familiar with the Cleveland area studio scene but i think you'll have a hard time finding a professional studio in that price range. you may try looking on craigslist or myspace music for someone with their own home studio. that would surely be cheaper than a professional studio. also, go to shows around your area and find out where other people have done their recordings, and go from there.
also most studios don't care what kind of music you play. so you wont really have to find a studio that is willing to do metal. most studios will record anything as long as they get their check.
it may also be more cost effective in the long run if you record some stuff on your own by setting up a home studio. your only problem with be tracking the drums. guitars, bass and vocals can be done seperatly and mixed together, with the drums you get the best sound with a number of mics which is a problem in a home studio and on a budget. you may consider recording the guitars, bass, and vocals yourself and get the drums recorded at a studio, then mixing it all together. it may be a bit of a pain, but could end up the best option for you.
if you guys play shows, you may be able to record the output of the mixing board. this would be pretty cheap (possibly free) if it's an option. of course if you are wanting a really good quality piece of recording your best chance is at a studio, which will cost you.
if i remember right there is a recording school in Ohio somewhere. Chilicothe or something maybe. the point is, a lot of these recording schools will record people for free to get their students experience. will it be perfect? no, probably not, but it would be free and should be decent quality.. you might want to look into that.
good luck