One thing that I'd suggest that will likely be a huge benefit both to the child AND you as a parent - is getting involved in a Hoh/Deaf peer play group that has children and adults who speak, sign or both - so that they are able to benefit from BOTH languages in an "informal, fun, natural way!!
It's a fantastic NATURAL "learning, without realizing they're learning" learning environment as well as a support network for the parents - and a great "fun time" for the child.
I was born completely deaf on my right, and with constant ear infections that effectively gave me almost constant mild hearing loss on the left as well - which later became permanent mild/mod flux loss - as well as APD. I was often very frustrated - because sometimes I could hear and understand, and other times I couldn't... and the people I loved most didn't realize that I was trying as hard and as could to understand, but couldn't
I would fall into tears sometimes because I was working soooo hard to be "good" (ie "hear properly", respond like the hearing child they wanted" etc) ... but I just couldn't do well enough - and I could TELL everyone was "mad" at me(upset, frustrated, sure I was "playing it up" etc)! Being Hard of Hearing is VERY exhausting - as a child, teen, young adult - and even now as an adult... I ALWAYS have taken "lunch naps". By lunch time - if I've been in a hearing environment all morning (school, work etc) by lunch my brain is in desperate need of some "off time". In fact as an adult, I chose the location of my home so that during my lunch break I could rush home, set the alarm clock for 25mins and sleep for most of my lunch break (I'd make lunch in the morning, stick it in the fridge, then eat it on the way back to work !)
The need for, and importance of a "mid-day-rest" for children (and many adults) who are Hoh/Deaf who are in a mainly oral/aural (ie non-signing) environment is very underestimated. For young kids - if they won't "nap" (ie fall asleep) at least provide them with 3o-60mins of "quite time" (where there isn't anything to listen to including voices, TV, Radio etc at all ... it could be quite time in bed/laying on a couch etc with books/soft toys or for older kids reading or colouring time etc -something where their brain can "stop listening" for a bit... and even for older kids, a "nap" or at least "laying in a dark room with eyes closed" time is the best.
I grew up without any sign language (other than what I learned on my own) - and it wasn't until I was an adult that two major things happened that changed my life:
1) I finally was able to formally start learning ASL and because of it, be able to casually socialize with other people, attend university (with interpreters) etc.
2) My family finally listened to what I, and my audiologists were saying and FINALLY ACCEPTED I'm Hoh/Deaf (not "almost hearing"). The first 20years of my life they thought that I just "heard everything, but it was fuzzy" - even when I constantly told then otherwise
One thing I would suggest for the parents, is listening to some hearing loss demos - so that you are able to hear first hand what your child is dealing with. When you listen to the demos - make sure that you listen the the "Hearing loss" version FIRST (NOT the "normal hearing version) - the reason for this is because if you listen to the "normal hearing" version first, your brain will be able to easily "fill in the gaps" when you then listen to the "hearing loss version". Also - listen to the one that is where your child is UNAIDED (so if they have severe hearing loss, corrected to mild hearing loss with HA - listen to the "severe" version and turn up the volume a bit - as THIS is what your child is ACTUALLY hearing (the severe version, but louder, due to the HAs) NOT the "mild version".
Also consider getting some ear plugs (the 33db or 32db kind that are a "foam" type - often bright orange in colour) , putting them in and then going about everyday tasks. Have ONE person put the earplugs in and the other person (without anything in their ears) try chatting with them at a normal volume in the same room, in different rooms, while doing other things, while the kitchen/bathroom water tap is running and the 'earplugged person' is NOT looking at the person speaking etc.... do all these things, and see how much different it is - then switch and have the other person put the ear plugs in etc. Make sure that when you put the ear plugs in they are properly sealed - it may take a few times to get it right - and there will be a significant sound quality and volume difference if you do it properly.
Keep in mind that 33db (which is the MOST that the earplugs can do) is considered "mild hearing loss" and is often considered "not enough to require or be fitted for hearing aids" - which means that if you had 33db hearing loss (ie heard all the time like you do with the ear plugs in) that an audiologist would likely say that you "didn't need Hearing Aids yet, and should just work on listening skill etc". Think how tired you'd get listening like this all day, muddling though fuzzy words, half understood sentences etc ... and how frustrated you would get if you COULDN'T "just take the earplugs out".
Hope that helps!