we have the same water heater (WH) and had the same problem on our spring trip. long story short the problem for us was a bad thermal cutoff (TC) essentially a fusible link that protects the heater from a flashback. the water heater can operate without the TC but if the TC is bad it should be replaced. it is easily removed for testing and bypassed if needed.
check out the photo below which shows the location of the thermal cutoff. your WH should be exactly the same.
- be sure both the electric and LP switches to the WH are off
- note where the TC is connected at both ends. there should be a brown wire running from the control board to the right end of the TC. carefully remove it...it's held in place by push-on connectors. the other (left) end of the TC is connected by another push-on connector to the BRN TSTAT terminal. carefully remove the TC from that terminal.
- using a Volt-Ohm meter check for continuity like you would a fuse. if continuity is present then replace the TC as this is not your problem but if continuity is missing then just replace the TC.
- to bypass the now removed TC simply connect the brown wire from the control board to the BRN TSTAT terminal.
your water heater should now function properly. replacement TCs can be found at RV parts dealers or online. they run a couple of dollars each. I now carry a spare in my toolbox.
good luck.