Having boards laying around for fast prototyping of filters is reasonable, although someone limiting -- at some level the board dictates the possible filter topologies you can use. It also doesn't work for active devices, so you are going to be stuck if you need amplifiers, VGAs, mixers, of DC offset adjustment for a DSO.
I don't know exactly what you are thinking about in terms of your needs, but for a DSO maybe all you need are lowpass filters. In that case, you could get a few pre-packaged mini-circuits filters. You won't have the flexibility of building your own, but they will be better performing, and if your interest is primarily in the DSO firmware rather than the analog front end, it seems like you don't need a lot.
On the other hand, I think "I don't want to waste time learning to use a CAD tool" is short-sighted at best. Compared to developing DSO firmware, learning to do simple CAD layout takes a trivial amount of time. And if are serious about making a usable product you are going to need to do that, since you aren't going to build a high performance AFE and sampler with only prototyping boards.