Blackhawk, have you looked into AAFES bike program for cats overseas? I got my limited for 25K and change minus New York State sales tax and offered me I think 1.9% on a loan. I ended up just buying it outright, but they found cheap money through Andrews FCU.
As of two weeks ago, Harley's best rate was 3.99% for 5 years. The dealer can do better. Your dealer's finance guy needs to earn some of his money and find you a better rate.
Maybe the dealer can do better, maybe not. They make a profit on the loans they place, and I'd bet the F&I guy would rather place a loan than let the customer walk. If the OP's FICO score is 700 (he said about 700), may be a few points shy of getting the lowest possible rates. From what I've read recently, 720 (FICO) and higher get the lowest rates.
Lending standards have been tightened up since the real estate meltdown.
Like others have said, try getting a few quotes from credit unions. If they give you favorable rates, you're good to go. If not, you have to decide if you want the finance charges or not.