Get down at Katra station . relax for some time . have your food. refresh yourself. There is no need to take room as you are single and manage . If you want to have accomodation for some time try station waiting room or there are dormitory/dharmshala available where you can get bed for few hours. Get your registration done for yatra as soon as you get down at KATRA station. It will not take much time. Start your journey uphill by 7pm. It will be good to walk in night. I personally prefer it. If you go on a steady pace you should be able to do early morning darshan by 4-5 AM. Avoid Ardhkuwari cave visit as it will take huge hours to get your number. After darshan visit bhairon mandir around 2km more from mata bhawan. start your down journey by 10-11 AM. You can reach Katra back...
more... by 5 PM or early. Food is not a problem. you will find food in your entire journey up and down. Enjoy your walk and do not hurry . Luggage you can put in cloak rooms available near bhawan. Hope this helps.