Do you have a RedCard? You get free shipping with that. You can have it attached it to your bank account, so it's like a debit card, rather than a credit card. Easy to apply for. also, there is a link on www.retailmenot.com for target that will get you $5 off a purchase of $50 or more.
I was gonna say the same thing - get the Target Red Card (credit or debit) and shipping is always free PLUS you save 5% on all purchases on line and at the store