Yep, you will run through resin a bit quicker (depending on TDS) but OP was asking what was the best way possible with the equip & method he was using
(And lets be honest, even if it costs you one more bag of resin a year, it's not a lot is it?It's not even £10 a month! Especially if you've now got another chap out with you, it'll work out to half of one days work he/she earns you a year...)
If we're going for practicality and best all round option, either get a storage tank with RO (you'll save money in the long run no matter what your tap TDS is) or buy two more D.I's and put them after your second pump
I've tried DI before pump and the pump struggled.