Let me just see if I understand this correctly without going back to the books...
LH causes the secondary oocyte to get released from the ovary into the fallopian tubes along with the maturation of the remaining follicle into the corpus luteum, right? The purpose of the corpus luteum is to release estrogen and progesterone, which work to nourish the endometrium. Once the levels of estrogen and progesterone build up high enough, the GnRH and LH will be inhibited by negative feedback. Once LH stops being secreted, the corpus luteum decays and this causes the endometrium to "die" (menstruation starts) due to the lack of estrogen and progesterone to support it.
so if estrogen levels are artificially high, and maintained at a high level, then LH will be inhibited from being released which will stop any further release of oocytes into the fallopian tubes (ovulation). Does that sound right?
and for your second question: as far as I know, the fallopian tubes (aka uterine tubes) are connected and continuous with the uterus. Otherwise, how would the oocytes go from ovaries into the uterus?