Hi Robert, I was sorry to hear about that UK Family Permit outcome.
I wouldn't want to predict what the result might be with any application for the Irish equivalent of the Family Permit.
Under the umbrella of the 'Common Travel Area' the UKBA and INIS (Irish Naturalisation & Immigration Service) do actually share information with each other to minimise possible circumvention of immigration policies
For me the first issue has to about how you how are you going to demonstrate that for the purposes of immigration you are actually exercising your treaty rights?
The second issue is the fact that your UK Family permit was only just applied for and refused. I personally feel that the time period between that and a new application is just too short and will raise red flags.
These issue may cause the Irish authorities to feel that from the outset you have a real intention to find a way to settle in the UK 'outside' of UK rules.
I think your best strategy is to actually become established in Ireland as a UK citizen.
Find accommodation and find a job.
Then after a few months have your wife apply for the Irish Family Permit to join you.Or you could go over to Philippines and bring her with you.
Here's some links that might help you:-
The Irish Naturalisation & Immigration Service (INIS)
Here's some information about
Family Members visa application and immigration procedures relating to Ireland
Hope this helps with your thinking.
Sorry it may not come across as positively as you'd hoped for.