B732 FLC ENCOUNTER PRESSURIZATION PROB ON DSCNT INTO TPA AND ADVISE ZJX OF RESTR PROBS. RPTR IS CONCERNED WITH LIZARD STAR DUE TO LACK OF NAV FACILITIES FOR NON GPS EQUIPPED ACFT.

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OUR ORIGINAL CLRNC WAS TO DSND AND MAINTAIN 15000 FT AND TO EXPECT TO CROSS MARVI INTXN AT 13000 FT AND 250 KTS. AFTER RECEIVING THE CLRNC TO CROSS MARVI; THE CABIN ALT BEGAN TO CLB WITH THE THROTTLES AT IDLE. THRUST WAS INCREASED TO MAINTAIN THE CABIN AND ATC WAS NOTIFIED THAT WE WOULD NOT BE ABLE TO MAKE THE RESTR. THE CTLR SAID THAT WE COULD INCREASE OUR AIRSPD IN ORDER TO MAKE THE RESTR. WE HAD BEEN PREVIOUSLY RESTR TO 250 KTS. AFTER INCREASING OUR AIRSPD TO ATTAIN A HIGHER RATE OF DSCNT; IT WAS OBVIOUS THAT WE STILL WOULD NOT BE ABLE TO MAKE THE RESTR. ATC WAS NOTIFIED. THE CTLR SAID TO JUST BRING IT DOWN. WE CROSSED MARVI AT 13500 FT AND 270 KTS. FURTHER DSCNTS AT IDLE THRUST INDICATED NO PRESSURIZATION PROBS. THE LIZARD 1 ARR INTO TPA CAN BE DIFFICULT TO NAV DUE TO THE LACK OF DIRECT LINE OF DME AND MULTIPLE VOR RADIALS. THIS ARR GREATLY INCREASES OUR WORKLOAD AND POTENTIALLY INCREASES THE PROBABILITY OF ERROR FOR NON GPS ACFT. A SIMPLIFIED ARR WOULD DECREASE THE PROBABILITY FOR ERROR.