IME, if the gig is big enough to require PA support, you really want to have independent channels for EB and URB.
For a theater gig w/amp, I'd use a Grace Felix as my front end, send each channel to it's dedicated DI and send the blended signal to the amp for personal monitoring. The Felix is at your feet and gives you control of signal path/mute/tuning/etc. without having to move around much.
For bigger shows with the right space and resources, I'll dedicate the Felix to upright and give FOH separate channels for mic and piezo pickup, send the pickup to an ABY, then to the amp for personal monitoring. The EB goes through it's own signal chain to a Radial J48 > FOH, and to the ABY and on to the amp. That's a lot more gear and hassle, but the end result is better, IMO. And you have complete control over muting the full URB chain as needed.
If it's a much smaller show without any PA support and the bass amp is carrying the room, I'll generally just use my Trickfish BH1k and adjust for EB or URB as needed.