I did it for a few years. I had a mild 440 w/ a Paxton. I used the eletric pump at the track or when I was going to get on it. I used the carter street/strip mech pump and their electric as well. If I had it to do over agin I'd just use a realy good mech or a straight up eletirc. Forget to turn on the electric and at about the 1000 foot mark your pistons start to burn up...AMHIK.
Not sure about you combo but I ran a 11:1, 548 soild cam 440-6 w/ a Stock (autozone) Hemi pump and 3/8 w/o issue. Maybe you need to raise your float levels, you could also have an electrical problem. I'd start w/ the basics before you add or spend money.