My dh was mainly against homeschooling in the beginning because he wasn't exposed to it and had the old attitude where families who homeschooled were isolated. During the past years our dh has gotten to know some homeschool families through our church and opened up to the idea. However, he wanted to send our dc to ps for elementary because we knew many of the students and teachers (most are Christian) and the school has a good reputation. Also, in the back of our minds we saw financial value of my returning to work part time when the children were in school. Dh was also of the mindset that the tradional school "experience" you mentioned would be of benefit to our dc. Last year, when having to make a final decision about our ds beginning his K year, we both prayed....dh leaning more towards ps and me leaning more towards hs. Dh and I felt God's blessing to send our son to ps this school year, me moreso hesitantly. After one month in ps my dh saw that the traditional school experience was overrated. We do love our son's K teacher and overall this year has been a positive experience for our ds (having some mild frustrations with ps ways which we know will turn into big frustrations if we continued ps education).
After one month with our son in ps K, I got less content with the idea of sending our children to ps for the long run. I asked questions on this forum and some of the ladies prayed for our family to be led in God's direction for our children's education. It was a short time later that dh's uncomfortableness with the ps system grew and he said I could research homeschooling further. After much research, I presented all my findings as to what curriculum options I liked that would fit into our limited budget, got plugged into the homeschool community around us, and found some extracurricular activities that we can afford. Dh and I prayed again, that time with dh being more educated about homeschool. Now our decision for next year is to start a CM education at home for our ds (6) and our dd (4). It is a blessing that dh is now fully on board with this, as a year ago he would have half-heartedly given the okay if I insisted on homeschool. The Lord has really worked on dh's heart to bring him the encouragement he needed to go this direction in our lives (no one in our families have homeschooled). With the budget being a big issue, we have chosen to live with less material extras and more faith.
I believe no amount of begging to your dh or preaching all the pro's of homeschooling can change his mind. I would suggest you lay your heart's desire before God and ask God help you and dh to have full agreement on these major family decisions. In addition, tell your dh why you want to homeschool and ask him to be open to exploring the opportunity. I pray that his heart opens to considering your desire. If his heart doesn't open at this time, keep praying and having other mature women pray with you.