Maybe someone with a bit more experience can weigh in, but I would be very hesitant to rely on using two pumps to mimic an overflow system since it would be nearly impossible to dial them into and maintain the exact same flow rate. If the flow rate does not match, you will either have an overflow in the sump or an overflow in the DT with a burned out pump and overheated sump once the pump runs dry.
If you cannot do an internal overflow, I would go with an external overflow, although I have never used an external overflow personally.
I have built a very inexpensive overflow style setup for very little money before to use for a QT, and still have it today. I drilled the back of a tank with a $5 hole drill from Amazon, added two 1/2" bulkheads and short section of vinyl pipe to the sump, then a small return pump. Not quite the same as a bonafide internal overflow, but it is not far off the mark. I used a tee inside the tank with an elbow 1/4" higher to provide a backup overflow that I have yet to see used unless I dump a lot of excess water directly into the DT. While the tee and elbow overflow are not particularly attractive, it does function well with a gurgle every couple of hours. I used two tanks from the Petco sale and the rest was stuff I had on hand already. I think I have about 40 bucks in the entire system excluding the pump, bulkhead, and heater which I already had. I did look at some internal "shadow style" overflows, but did not wish to fork over the money for one at that time. The "shadow style overflow" is an easy upgrade to the add to the inexpensive tank and looks a lot better than a traditional overflow with hole through the bottom of the tank in my opinion.