OP, could I just say how refreshing it is to read of a woman and a man talking together, each trying to do right by the other, considerate of each other's feelings, and mindful and supportive of long-term career goals. How lovely you are and your DH - I'm sure your baby will be lovely too.
It's far from ideal, obviously. And in an ideal world there would be nothing between you, DH and new little one for a few weeks after the birth.
But... it is only a couple of weeks and you definitely can cope. I spent a lot of time on my own (husband a war correspondent) with a newborn, and I actually quite enjoyed it. But you must be super-organised beforehand. Get all your baby basics - nappies, wipes, onesies etc well ahead of time. Make sure that there's plenty of food in the house for you (believe me, you'll eat like a horse if you're breastfeeding) and get bulky or heavy stuff delivered or bought by DH beforehand. It's one thing taking your DC in a sling to the corner for some milk and fruit, quite another if you have to schlep toilet paper, laundry powder and a couple of bottles of wine mineral water.
If you decide to do this, please you must ask for help. Consider asking someone who you think is nice, but perhaps you aren't close to. People can be very generous to new mums and are happy to do so. I swallowed my "pride" and asked for help from a neighbour (who I didn't know well at the time, but who has become a very close friend). She would let me know when she was going to the shops and pick up things for me, would stop in and coo at the baby and make a cup of tea. It wasn't a big deal for her but huge for me, as I was reassured by her company and that if I needed anything, she could be relied on while DH was away.
Anyway, the decision is between you and DH. I just wanted to encourage you if you felt inclined to have him do the course.
All the best to you, OP