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You would probably be better off finding a different setting and have the diamonds put in the new setting. I don’t know what your solitaire ring looks like, so it’s hard to say what it would look like. It might be cheaper getting the setting, plus if you don’t like it, then your stuck with it. Best of luck.

EDIT: Well if you know it’s about $100 to have them set, then just go to a trusted jeweler and have them set it. Like I said earlier, it’s hard to judge what it would look like since I don’t know what your solitaire looks like. You can get an estimated price from the jeweler also, that would be your best bet.

You’re going to have a hard time finding a jeweler who would be willing to destroy a perfectly good solitaire mounting, and perfectly good earring mountings, by removing the posts on the earrings, and soldering the baskets to your solitaire. Not only will it look horrible, and an obvious patch-job, but the baskets in an earring mounting look nothing like the head of a ring mounting. It’s going to look extremely cheap, and lessen the overall value of your ring.
Seriously, save some money, and do it right. You are going to completely regret doing something as insanely stupid as this. Plan to spend at least $300 for a mounting, and another $100-200 for all the labor involved.