Fuel system issues, won't stay running on the road

Just bought my 1st Jeep. It has some kind of fuel delivery issues. I replaced the inline filter before the carb (aftermarket weber). At an idle it runs smooth and consistent. At higher RPMs (parked) it runs smooth and consistent. Under a load on the road, it chokes out and dies, acting like it is running out of fuel. It will restart and go 1/4 mile and die again. I removed the fuel tank cleaned it out (it looks different than pics I've found online) am replacing all the hoses.
What next? I don't want to repull the tank if there is something else I should do while it is out. Thank You in advance!