Another idea for talking to your DH...could you ask him to talk about the specific reasons he is against the homeschooling? Sometimes people have a particular bias, in theory, but they could make an exception and his being specific could help you tailor a plan to ease his misgivings.
For example, with my DD, my DH just did not want her sitting home. He thought she would feel like a failure, and feel out of sync. So I signed her up for a few after-school classes to be with kids her age and learn something new...even things she wasn't learning in school like Spanish. That made DH feel more secure, and she really did learn alot! She got alot of encouragement from these after-school teachers and even continued with them the next fall. We weren't simply sliding back into pre-preK days, it was just getting her out of there but being part of society so to speak and learning continued, but in healthier environments for her.
When it came to the next grade, seeing the change in her and knowing from how the school acted and not having a decent alternative, DH was completely on board with continuing. However when we moved we agreed to try school again.
That's a whole other story, but so far it hasn't been as bad as that K year. Last year was challenging but DH was against removing her in the middle of the year, that she'd get the idea that when things get rough she quits. We got her through and she jumped up and down and was crazy happy on the last day of school.
This year has been better. It's never a perfect fit with the higher gifties and/or 2E kids but you have to go with the least worse as others have written on this board before.
The future of her education needs alot of work but we're still working on it. But having him see her at her most anxious and talking to her about what she's doing in school (not much!) rather than just breezing in and out like an upper-management level person has really helped alot.
Good luck!