My Specialized Allez roadie came with a Sora triple and Sora triple STI shifters. I neither want nor use the little ring. I'm going to upgrade to Ultegra double just as soon as I get the cash, but in the meantime I'm having a devil of a time keeping the front derailleur in line. It likes to leap frog from the big to little ring and it's terribly annoying, I have to be constantly adjusting.

If I were to simply remove the inner chainring making it a double:
-Is these even a plausible solution?
-Would my current shifters and derailleur still work, with adjustment of course?
-Would doing this perhaps temporarily (until I can upgrade) solve some of my derailleur issues, as in making it shift more reliably? Someone else has suggested this to me and I just wanted to double check it here. Would it be worth my while to do so, would it solve my problem?