While there is an idea with that, i'm not really sure you are going to do much with 1-2 Res. First, you can't compile a sprite with a level higher than twice your Resonance, and a lvl 4 sprite is the lowest you will ever want if you want it to be of some use - even if you are allowed to use the oh-so-broken diagnostic. And it will be even worse for threading.
If you are going to be using a cyberdeck instead of your living persona - which I assume is the case here, else you wouldn't be able to use diagnostic on your deck - you will want to have the Resonance Riding Echo (Data Trails p.59) when you first submerge, as this will allow you to call/order already compiled/registered sprite while using your deck. Compiling, registering and threading will still need you to use your living persona however.