This is not true that the attorney will be awarded whatever they ask for. Their bill must be reasonable and based on the actual work involved in defending the restraining order. This means your attorney can demand an itemized bill showing the hours expended and can challenge the time spent on each item as not being reasonable in the standard of practice. The attorney can try to challenge the attorney's hourly rate, but unless that hourly rate is so far outside of the industry average in your area, that is not usually a successful challenge (for example if your attorney charges $200 per hour but the other attorney charges $375 per hour, that is not necessarily something that can be successfully challenged if the other attorney can prove that is their standard hourly rate and it is close to or within the range of other attorneys in the area with similar experience and handling matters of the same complexity).
The other attorneys likely seem disinterested in the case on appeal because so very few divorce cases are overturned on appeal because the factual determination of the trial judge are given such weight that it is almost impossible to overcome them unless the judge did not act in accordance with some law. Unfortunately (and I know you do not want to hear this one), if you put up sufficient retainer for the appeal you can find an attorney to take it and generally by sufficient the average appeal on a divorce will require at least a $10,000 retainer for most attorneys to be interested.
The best thing to do is get the court file with all of your evidence and bring it to a local divorce attorney. To find a good one, ask around the court house. Ask the clerk in the court, ask a few of the other attorneys in court about the toughest divorce attorneys (don't do this in front of your attorney or the other party's attorney) and set an appointment with them and bring them your file for review (it may cost you to pay them for 2-4 hours of their time) and ask for a fair evaluation of your case to see if there is any violation of law in the decision that is capable of being appealed. You can also use the same sites used by other attorneys, http://www.martindale.com or http://www.lexmundi.com
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