I think you sound lovely and considerate. This sentence jumped out at me.
Maybe I just hoped to be more involved with the baby.
From my point of view as a DIL, you need to build or maintain a good relationship with your DIL before swooping in on her child.
The mistake many Mils make, I think, is treating the dil like she's just the commodity and the baby is yours to spoil, take out, steal all the best bits.
I'm not saying this is what you're like but it is my experience sadly as mine used to pester me from when my newborn was only 2 weeks old by phoning me every morning asking if she could take him out a walk in his pram (without me) He was exclusively breast fed so I always said no.
Her doing this always made me feel unwanted, I'd have loved if she'd offered to come round and take the dogs out for me or help in the house to let me bond with my newborn but no, she wanted the good bits.
She didn't want a relationship with me, only my child which is common I think, and that's what gets our backs up.
If you're making arrangements make sure you include your dil in communications and ask how she is.
Oh and I'm sure you don't but just incase, never criticise her weight, hair or (lack of) housekeeping skills 