There have been some great ideas already, and I hope you get something sorted. I can't imagine how you must feel knowing things have changed beyond your control, and you need to find a way to make this work.
We both work but made arrangements with my hubbys niece and our neighbours for the first 2-3 months when we first got Dylan. Lots of toilet breaks and fuss, but only for 15-30 mins at a time. He genuinely never seemed stressed, although we couldn't get home from work quick enough.
The thing is he adapted really quickly. He's a show type, and I appreciate workers are different, but given time I assume he would also settle into the routine. Some company from your neighbour, no matter how brief, would be a welcome break in his day, and then lots of attention when you both get home again.
They aren't puppies for long, so as he gets older the issue may reduce. It has for us anyway.
Good luck and I really hope you find an answer that fits all of you.