Not quite the same as your set-up, but I use Eden WTDI preamp / DI pedal into a mixer PA amp every week at the open mic night I run (been using this set-up for the last 5-6 months or so).
Works fine, sounds good, means I have my own control of EQ & volume to hand, get a 'proper' bass sound, & I don't have the hassle of amp / cab transport.
I'd guess that what your suggesting will be fine, but give it a try.
Best of luck