In considering your budget requirements, I would definitely stick to a moderate resort. Going value resort is too small and too loud and hectic.
POFQ - Our favorite moderate resort. It has a small footprint, great theming that really comes alive at night, great food, and the resort always seems quiet. You have the boat to Disney Springs and you can take a stroll over to POR to use their amenities including pools. I prefer POFQ to POR because it is smaller in footprint and has less rooms/people and has the one central bus stop.
Now, POR and POFQ have not been refurbished recently. There is some indication (rumor) that POFQ may start a complete room remodel sometime in 2024 but nothing official. Someone can correct me if I am wrong....but I believe POR remodels usually follow POFQ which means 2025 could be the year POR is in transition.
Caribbean Beach - Just completed a remodel (Trinidad only) and a refurbishment of all of the other villages. Given you are staying for 2 weeks, this resort may actually be a better fit for you. WHY? You are looking for quiet. CBR village buildings are spread out and it is a very large resort. It is very quiet. Each village has it's own quiet pool and you may find no one using them because they are all at the feature pool. CBR laundry rooms are located at each quiet pool so it's easy to swim and do laundry at the same time! I specifically suggest you book a preferred room requesting Martinique section. It is sandwiched (no pun intended....LOL) in between OPR and the Riviera Resort for easy and varied food options. It is the first bus stop and an OK walk to the skyliner at RIV for easy access to EP and DHS. You will only need to bus to MK, AK and DS. (and waterparks) Being in Martinique, you would also not be "under" the skyliner route thus avoiding any rooms that have some noise from that line.
While Swan/Dolphin could also fit your budget, there is no Disney Magic, IMO, and I don't think you want to stay in a tower-like hotel as you mentioned earlier.
DVC - I would not. Renting points for 2 weeks is a huge monetary commitment that must be done WAY in advance and you cannot change your accommodations if needed. I would leave this to people with more DVC experience and shorter stays.