This 100 percent, buy the best sounding full range amp you can find. One made for providing a clear, undistorted full range sound.
IE, an acoustic amp, keyboard amp or portable PA speaker with internal mixer. And get a Line 6 or whatever brand you prefer pedal and plug into that with your electric. Depending on the PA the band uses use could also skip the amplification and plug directly into the PA with the pedal board and a DI or in some cases directly with your acoustic.
The caveat about going directly into the PA is if others aren't doing it and your band doesn't have multiple monitors each with its own mix you can easily annoy some of the other band members if they can't hear themselves because all they hear is you coming through the monitors.
These pedal boards make it it easy to play multiple Instruments. In one band I play multiple instruments. The band is a trio just me, an acoustic/electric guitarist and a drummer. For this band I often need to fill up the sound with whatever is needed for the song. I use a small mixer (Yamaha MG10XU) between all my gear and the PA. I have a Line6 HD500 pedal board into the mixer, I use it with my electric. I also have a bass that goes through a preamp into the mixer. I plug my acoustic through a Fishman DI into the mixer and I plug my keyboard into the mixer. For both guitars and bass I use wireless units (Line 6) to keep from tripping over cables! The mixer allows me to plug the aux out into a powered speaker and adjust the monitor level for each instrument right on stage near me without having to go over to the PA board. Juggling multiple instruments can be a real pain in the rear. But I like playing with these guys they are very laid back (and help me load in and out!) and the result makes it possible to play songs that cannot be done without multiple instruments. This way I can do a laid back James Taylor, a power trio ZZ-Top or a Synth Heavy 80's song or even Billy Joel piano man all in the same set. Since I don't carry multiple heavy amps the biggest things for me are the 88 key board and bench. I can get all my stuff in the back of my jeep easily.