If I were you, I'd opt for the PICC, it is less expensive to insert & remove, and easier to deal with if it gets infected (with a Port, if it gets infected you have to have surgery; not so with a PICC). Also, if you are only able to get 30 days of IV abx and then have to stop, it's better to have the PICC removed at that time until you get another doctor who is willing to do longer-term abx.
BTW, I've had a PICC for almost a year (for TPN and IV fluids) and have not had much in the way of discomfort with it.
I hope this helps - take care,
Chronic Lyme Disease, Gluten & Sulfite Sensitivity, Many Food/Inhalant/Medication/Chemical Allergies & Intolerances, Asthma, Gut issues (dysmotility, non-specific inflammation), UCTD ("Secondary Lupus-Like Syndrome"), Osteoporosis, Pancytopenia, chronic malabsorption/malnutrition, etc.; G-Tube; Currently TPN-dependent.
Meds: Zofran, Pulmicort, Heparin (to flush PICC line), Claritin, Colloidal Silver (used topically), IV Milk Thistle, probiotics.