If you're moving on the company dime, you're on duty. That is jut the way it is and that would make the idea of home basing at an airline very difficult. Honestly, with a commuter clause, I never stressed too much about getting to work. Tried twice, called the company. No harm, no foul.
The biggest stress for me was the never knowing when I'd get home. I think the best thing the airlines could do is offer positive space home on the first flight after your return to base. It's just tacking a DH on to your schedule and since it would have to be negotiated in to the contract, the Union could agree that that one flight goes unpaid.
Another stipulation that would help the company would be that they are only required to do a single leg and that it must be serviced by the parent company of regional you work for.