Jim's is where to start for sure tho. Grab a DI box dirt cheap.
For the benefit of the OP, lemmee state that it has to be PASSIVE (which is cheaper), a powered DI is a one way street for your signal, HI Z unbalanced (1/4" guitar) to LOW Z balanced (XLR mic), so you need a cheap passive like a Whirlwind. They cost almost nothing, work in reverse, and sound fine for most applications.
The Radial "Voco-Loco" to match levels/impedance etc. & plug in all your pedals just how you like & give your house sound guy the output XLR cable. Fun to fuck with things real time if you want too. Oh yeah, it has a phase switch & phantom power too. Think $100ish (way more than a DI)
I've not tried the Voco Loco, but if its as nice as the Radial reamp, active Radial DIs and Tonebone ABY then I am sure its worth every penny if you can spare the money. $100 sounds reasonable to me, but I allocate a lot of budget to gear since becoming single again.
An aside on distortion-I've kept a regular Marantz cassette deck wired in for years now. Love hitting it hard for a different kinda distortion. Cheap fun & I've had a bunch of people over the years ask me how I got "that distortion/compression madness". From my home stereo.
last time I made a rock record we made a lot of use of an old Wolensac 1 track 1/4" reel to reel with tobe electronics. A $20 pawn shop investment that made a fabulous vocal processor for varying degrees of compression, distortiona nd loftiness (not the ebst designed tube front end for fidelity on these cheap old recorders).... if you find the right one it will have built in speakers with their own tube power amp at about 5 watts a side. Interesting sound from the inbuilt speakers, but if you break out your soldering iron and hack it at the output transofrmer you can drive a guitar cab with it! It even ahs an intersting sound on guitar itself to overload the tube preamp, overload the tape and get the record heads hitting the little power amp and your speaker cab.... Marantz, Wolensac, 3M all made these things in the 50s and 60s and one in good nick shouldn't cost more than $100, probably less. They turn up regularly on fleabay these days.