From all the research I have done, 3000 mile oil changes are a waste of money. Oil does not break down in 3000 miles, it gets dirty. If you really feel that you must change something, change the filter and top it off every 3k. I usually go 7 - 8k between changes and a filter every 3.5k or so.
Also, synthetic oils do not cause engine oil leaks. Deteriorated seals and gasket material cause engine oil leaks. The main difference between the two is the superior thermal protection characteristics of the synthetic. Feel free to mix and match to your hearts delight as long as you use corresponding viscosities.
My recommendation is to use conventional unless you have an expensive motor which you want to protect.