I have adopted a not-very-radical practice of pronouncing Classical Latin vowels in a simplified manner. A brief explanation follows the forms, but this practice basically involves one sound for each vowel. Short vowels are pronounced short, long pronounced long. Simple.
a = do, re, mi, fa ā = faaa
e = eh ē = eeeh
i = bee ī = beee
o = no ō = nooo
u = food ū = foood
y = u ȳ = uuu
(almost like in the name Yuri)