Car trailers.
The deck can only get so low unless its custom. Just make longer ramps for it or use a "secondary" ramp with the main ramp to help with the approach angle for his drag car.
Using the tongue jack to raise the front of the trailer (even if its still attached to the tow rig) will help lessen the angle as well.
Depending on how overweight your trail rig is, the cheapest, and lowest "off the shelf" trailers out there are the "angle iron" 7K units. They are also the lightest and while not the strongest, aren't all that bad (school I went to many moons ago had one that they hauled experimental cars cross country MANY a time with no issues). You can usually pick them up for just under 2K before they add all the taxes and BS. Shop around. Downside is "used" ones won't be much less, might as well buy new.
If you shop used (or new for that matter), ONLY get one that is 83" +/- wide (7-feet), many "equipment" trailers are narrower, and will work for lots of rigs... till your trail rig grows and now you have to drive over fenders or all that BS.