Pine doesn't like stain. It just doesn't. One way to get that deep orange that you are seeking is to work with an old fashioned, stinks to high heaven, can't live in the space for 30+ days type of oil based urethane/polyurethane. Or better yet, an old fashioned shellac. Those old finishes turn a DEEP amber orange....which might be enough colour to get your beautiful white pine to turn pumpkin orange like heart wood pine.

Or you can purchase heart wood pine and finish it in a low VOC finish and enjoy it for the beauty that it is. Heart wood pine is hard to find and highly sought after. Which makes it expensive. It can be twice as expensive to purchase heart pine.

Have a look at which is more feasible: white pine with old fashioned finish + 30 days in a hotel room or heart pine in a low VOC finish + 5 days in a hotel.

Good luck.