Most hotels won't allow you to leave a dog unattended, even if crated.
There are doggy-daycares, but all the ones we've investigated keep 'business hours' and open no earlier than 7am and close no later than 5 or 6 pm. Not good hours if you're a rope drop to closing person, especially once you factor in 'commute time' to and from the facility. We only looked at weekdays, no idea if they're even open on weekends.
Also, most of them required a 'meet and greet' before accepting your pet, impossible if you're not local and you'll be stuck if you're already in Anaheim and they decide they don't want your doggo.
The other obstacle for us was that they were all 'group settings' and our dog does not 'play well with others'.
It turned out for us that we'd have had to board our dog overnight for the 5-7 days we'd be there, even if we could have found a place to take him without an 'interview'. That wouldn't work for us (or him) at all.
I don't know your doggo's 'issues', but there are pet sitters who will come to your room for the day. That didn't work for DH, he wouldn't want some stranger hanging out in our room, especially someone we didn't have a prior 'relationship' with.
We have been extremely spoiled by Best Friends at WDW. I don't know why Disney can't or won't partner with them for DLR. I've sent IDK how many emails to them suggesting it.