Everyone would love to start a business without much capital...Think about the printers position, if you don't have capital to start, then how will the inexpensive printer eat, live, pay expenses, if you cannot pay the printer what they deserve? How will the printer continue to print for you in the future? Of course you want an inexpensive printer, who doesn't?
Anyway, your best bet for a couple samples for your designs are to find a DTG printer. Expect the cost to be higher since you are only going to print small quantities. But at least it will get you started.