Biscuits good if sized properly - but you probably aren't going to purchase a biscuit jointer either.
The glue-only idea does work, however a mechanical connection between boards is best. The contact area/saturation of a glue joint is minimal and can become weakened when stressed. The joint is many times stronger and less likely to get stressed if there are screws running through the joint.
In 3/4" MDF or particle/composite boards I would run 2" countersunk deck-type screws (I use 100% stainless fasteners since they will never rust for any reason) with a pilot hole sized slightly smaller, as deep as the screw. Use a corner clamp on eachside to align the joint during drilling. Dip the screw in glue, then glue on both sides of the joint and squeeze the assembly together. Wipe off any excess glue.
After assembly is dry, I would place 3/4" triangle stock (cheap) in every inside joint that your design can tolerate. Glue only OK, but use brads to keep in place till dry. Improves lateral strength by a lot.
Gorrilla brand (or polyfoam glue, everyone nearly makes it now) is by far the strongest when distributed properly, but water-based Elmer's (white or dark) is best for ease of application. Water cleanup means you can over-apply and damp-rag the joints clean.
One consideration in the use of MDF: It is much more susceptible to damp condition damage than plywoods, is heavy and is brittle. Not to ignore the widespread use of MDF for commercial arcade cabs, but that is due to cost and ease of working. MDF & particle board does not like humidity and will expand, warp or disintegrate when damp. Quality plywood (no voids), covered with plastic laminate is my choice. More expensive but negligible for one cabinet.
My opinions only.