If you have 3 years broad experience you should have no problem with the 10 day course culminating in the 3 tests. The only problem you may have is that the FAA will not let you sit for an A&P unless you are working for an airline or company that needs it. This basically means that unless you are required to sign off N-reg aircraft you have no chance. Even if you work in a hangar on heavy checks will not count as any work done is on company approval.
Hope this helps and good luck.
