Check out and see if your PC has a training policy. You say that they have a budget amount then you need to inform the Clerk that you wish to avail yourself of the training. The clerk should also have a list of courses available to you and as stated this should then be put to the council for them to vote as to whether you can attend a particular course which they pay for.
Councils should be encouraging councillors to get as much training as possible to improve the overall efficiency of the council and their decision making on behalf of the community they serve( or should be)