You are asking for a somewhat tall order.
Where do you expect the printer company to make their money?
You are willing to "pay a bit more" for a printer that has cheaper ink,
which is to be admired for trying to lessen waste, but that little bit
more is a VERY little bit more, since a reliable printer, within the
typical business model is going to cost you at least $75, (one that the
printer manufacturer is getting their profit from the ink sales).
The reason inkjet printers are as cheap as they are is because the money
is made on the ink, If you wish to have the manufacturer cut the ink
profits considerably, you need to be willing to pay something reasonable
up front.
My first color inkjet printer cost $1000 CAN. The ink was fairly
reasonably prices and came is huge cartridges.
There are a few ways to get around the situation, but recognize you
aren't encouraging better business models by doing so.
You can buy an "under $100" printer, most likely a Canon, and refill
your cartridges. The reason I suggest Canon is that although their
cartridges are now "chipped" they are easy to refill, they will still
work in the printer, although the low ink warnings get turned off which
puts the possibility of burning our the thermal head as a possibility.
The inks a dye and therefore relatively cheap to buy from a 3rd party.
If you go this route, make sure you do not allow the cartridges to run
out of ink while the printer is on.
Or, you could buy an older Canon or Epson model (I would recommend the
Epson, since the heads are permanent which Canon heads, while
replaceable, do fail over time), pre-chipped cartridge, and either buy
3rd party cartridges or 3rd party inks for refill. Some reasonable Epson
models (4 color, which are cheaper to refill) are SC800, 850, SC
740/760, SC 600,640,660. I'd stay away for the photo models (using 6 or
more colors) and the older 400 series just because it isn't very robust
and maybe less reliable with materials.
Or, you could buy a current Epson and also use the software available
(for free) or buy a chip resetter, and some easy to refill cartridges,
and refill them yourself.
If you were willing to pay a bit more (about $150) I would suggest the
recently released Kodak all in one printers, may be a good choice with
there scanners and printer, (and therefore a copier) use pigment inks,
and the ink cartridges are quite reasonably priced for an OEM product at
$10 for black and $15 for color (List price).
Art