If it helps, in the arthritis world, there are many drugs that can be either injected or infused. For RA, I can think of three biologics - Simponi (subq) and Simponi Aria (IV), Orencia (subq or IV) and Actemra (subq or IV).
My daughter hasn't been on Stelara (yet!) so I can't really answer your other questions. But a stuffy nose is listed as a side effect for all of the biologics - neither of my daughters has ever had one.
Good luck!