The following will hopefully provide an understanding of the issue; and from that opportunity to overcome the Challenge. Some of our experts will see "Exceptions" in my description; but this type of description has worked for most cases since Marconi.
1. The Radio Signal (radiating) pattern for AM Radio station is going to be similar to your old fashioned donut with a hole in it. Looking at one side; there is a wide area at the sides, and as one goes to the top (hole) the signal gets weaker (the donut thinner).
2. On flat terrain like the Great Plains of the US of A; the signal from the sides go out in all directions across the terrain. As one gets further from the antenna, three things happen - (a) the signal weakens the further it travels through the atmosphere, (b) the curvature of the earth causes the signal to become "Unseen" by the "Line of Sight" between transmitter and receiver, (3) obstacles in the path block the signal (such as behind a hill/mountain or down in a draw or river bed/drainage.
Commercial Radio antennas are positioned on tall towers to extend the range, overcome the curvature of the earth, and to a lesser degree cover areas behind hills and mountains and in depression areas. Additionally; the power the Station is allowed to broadcast with affects range - More Power and it travels further through the earths atmosphere. This is why the 50,000 watt stations late at night were popular in the 1940's through 1980's and their Frequency approval by the FCC was like gold.
3. As a general statement, AM radio stations will have broader coverage at night compared to daylight. This is because the atmosphere collapses and is much closer to the earth than it is during the day. AM stations will "Bounce" off the atmosphere back to earth (From that top portion of the donut example) which gives both longer distances, and some coverage behind terrain obscured locations (why one can get a signal at night - but not during day).
Potential corrective actions:
(a) place an external antenna on as tall a pole as possible connected to the AM Radio
(b) Place an antenna on a Ridge Line to provide "Line of Sight" to the AM Radio station antenna; and extend the signal via cable to the AM radio or via a "Repeater/Translator" retransmitting the signal to the AM Radio. The"Repeater/Translator" solution is one that many small communities/organizations have done as a combined effort over the years to access both Commercial Radio & TV Broadcast where coverage was not available.
Others have provided some ideas that will provide other work arounds. Depending on where you are at and what your conditions are; some strange things might work also. As an example:
In the 1980's I was tasked by the Commanding Officer of 7th Communications Battalion to find out why the Jeep mounted High Frequency Radio Teams could not successfully communicate with designated Navy Ships and Navy Fixed Communications Locations (300 to 2000 miles away) as required during quarterly exercises. I discovered that the Operators did not understand radio frequency theory and antenna propagation patterns, and frequency assignment/selection requirements. Additionally; I researched and discovered during the period they had failed to meet the requirements - there was tremendous Sunspot Activity playing havoc with HF radio signals.
I conducted corrective training and arranged for additional long range "Connection Times" with the Navy for practical long range training. One team operating up in the Okinawa NTA (Northern Training Area) was having difficulties, so we diagnosed a defective antenna array. Solution - I had them tie the HF radio into a 500 foot Guard Rail to act as an antenna (This would be a Horizontal antenna arrangement - dependent on reflections off the ionosphere for radio path.) They were able to establish a positive HF Radio connection 2,500 miles away - longer than any of the other Teams using the Antennas available with their Vehicular Radio Systems. This connection made the Guard Rail an HF Radiation Hazard during transmissions; but they had visual on the entire guard rail so they could ensure safety. Using a guard rail or similar existing feature as a Receive Antenna does not represent a Hazard; except potentially if a lightning strike should occur.
There is vastly more involved in Radio Signals than I wrote above; but that's why I have literally many thousands of pages across multiple books, manuals, and articles I have collected over the years.