The more you apply for the more you will get denied for. Every time you apply, it counts as a hard credit check. You really don't want more than 1 of these a year.
My suggestion is to wait for an offer in the mail with 0%apr and accept that. Then at least you know you are preapproved.
Another option, if you know your credit really is that good, is to get an additional bank account and get a card through the bank.
Id check out www.creditkarma.com its an entirely legit site and you can check your credit as often as you like. They are soft checks though, so they don't hurt your credit. Then you can see how many hard checks you have had and see what normal is and so forth.