I use a Markbass F1 head, different from the LM II or III in their combos, but what it shares with them is a 500 kOhm input impedance, and a lack of various double bass-friendly controls like a high-pass filter and phase switch, to name a couple.
The 4-band EQ is actually relatively good for DB, and the VPF control is useful for dialling out some of the "honky" mid-range from your piezo. I believe that Markbass cabinets are also quite mid present; don't be afraid to cut some of the mid-range.
The other "problems" are easily solved with the addition of an fdeck HPF-Pre, whichever series you like. They are referenced about every second post on the Amps forum here, and there are a couple of mega-threads, so no shortage of information and well-deserved praise. With that addition, the Markbass becomes a very usable amp for DB, in my opinion. In brief, the box provides a 10 MOhm input impedance (far, FAR better for a piezo pickup than 500 kOhm), a high-pass filter to block the "rumble" that serves only to damage your speaker, and a phase switch to help with feedback issues. Depending on the model, it may also have a volume trim pot, capacity for external power supply, and maybe another whistle or bell. All that in a cigarette-pack sized box, and priced far lower than it could be.
You need one.
(I have no affiliation with the designer/builder other than as one of many very satisfied users).