Another vote here for too much, too soon.
I understand the reality of being a single parent. However, just because dating as a single mum is hard, doesn't mean that life owes it to you to fix that.
Yes, it's hard to date and arrange childcare. The solution to that isn't dragging a new boyfriend into your family life and expecting him to take part in it. Sometimes there is no solution. You're allowed to feel sad about that.
You have to realise that for anyone who doesn't have children yet, just because they're open to the idea at some point doesn't mean they want to be tossed into an existing family. You can't expect him to be as devoted to your child as you are. They are still basically strangers. And let's face it, there's nothing wrong with someone wanting to be in a relationship with you, just you for now. That's perfectly justified on their end. It's also perfectly understandable that he doesn't want to take on a fatherly role on his vacation, especially for a child he hardly knows.
And this is exactly why as a single parent you shouldn't bring a new partner into your childs life too soon. Because it takes time to get to know someone and figure out whether you're compatible. Being compatible isn't agreeing to both want (more) children. It's agreeing on every detail of when, how, who takes on what role, how you see finances, what the roles and boundaries are for step-parents, what your values are on parenthood, where you will be living, how you will be living etc. And not just agreeing verbally, but taking the time to see whether their actions match their words.
In my opinion, your bf is perfectly reasonable with his views on this vacation. However, if you expect a new partner to be just as motivated to build a relationship with your child as with you (and good luck finding that), then you're not compatible.