I don't know anything about retirement accounts in UK, but that 26k in savings account needs investing. Your desired annual budget is 14-16k so you should need about 400k invested to FIRE (ignoring pension). A rough guess based on the numbers you've given, you should be able to fire by 42. Assuming 5% increase in annual take home pay, 2% inflation of all expenses, 16k annual expenses (6k basic + 10k travel), 7% nominal investment growth, it would take about 8 years to get your investments to 25x expenses.
Since the majority of your budget is travel, you could be more aggressive about your withdraw rate, but cut your travel budget if investments are down. Just targeting a higher withdraw rate (5% instead of 4%) you could FIRE a year earlier. If you also temporarily cut travel spending to 4k/year until FIRE, you could cut off annother 2 years of working.