Hello and welcome!
So, first things first, the keycaps and switches are pretty universal for most boards. As for the keycaps themselves, they don't tend to affect the sound of silent switches too much, so any set you choose will work fine with the silent switches you have. Basically, the keycaps will come down to what colors you like best, as the switches will do most of the work with sound dampening.
As for boards, if you are looking for something that is truly silent, you'll want to pick out a board that has foam dampening as that will help to mute the sound. A lot of people you talk to in the hobby don't care for the Drop Alt too much, as it has remained relatively simple and unchanged throughout the years, while other boards (like the Tofu65 2.0 for example) have been continuously improved over time. It seems like you are shooting for a 65%, so I'd recommend looking into some of these options: the Savage65 from Cannonkeys, the Bakeneko65 from Cannonkeys, the NK65 from Novelkeys, the Q2 Max from Keychron, the Neo65 from qwertykeys, the QK65 from qwertykeys, just to name a few. Most of these are metal cases, which will be a higher quality feel. All these boards have hotswap options if you aren't looking to solder, and have foam options available. (Granted this is all based in NA, if you live elsewhere the website you buy from may be different)