Charlie,
I've owned transmission line speakers for over 25 years, starting with I.M.Fried Model M's. With all due respect to Danny and others, transmission line designs are poorly understood and under appreciated by most "outsiders". The depth, speed, and natural musical quality of bass cannot be compared with bass reflex or sealed systems. Frequency response is extended (with roll-off matching room gain), bass impedance bump if flattened out for better loading of the amp, and bass/midrange is clearer as the back wave is absorbed into the tapered line.
Here is a good place to start looking for the theory, examples, and DIY advice:
http://www.t-linespeakers.org/My current speakers resulting from my commissioning Bob Brines to provide MLTL speakers using the mighty Fostex F200A full range driver. Bob is a highly competent student of Martin J. King, co-inventor of the MathCad application that has finally provided a design method for TL's. Bob offers plans, knocked down kits, completed cabinets, and full speakers of various designs.
Here is Bob's site:
http://www.geocities.com/rbrines1/I'm also a big believer in simplier is better and to that end have gone the single driver speaker route. Thanks to King, Brines, and Fostex I have 30-20,000 Hz. in room response from a single driver. The single driver has many advantages such as direct (active) connection to the amp, better efficiency (no crossover losses), single point source (better imaging), and single voicing (vs two at crossover frequencies).
Which leads to my 3rd (alternative) recommendation: single driver in open baffle (simplicity itself). You'll probably need a sub, but the Visaton B200 driver by all accounts is a most remarkable unit, well suited for open baffle, highly efficiency, and within your price range. Check out the Darkstar thread here at AC under the Red Wine Audio circle and the Decware forum.